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anonymous

  • one year ago

3(2+x)=12

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  1. zzr0ck3r
    • one year ago
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    divide both sides by 3, and you have what?

  2. Ellamallow
    • one year ago
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    First you would multiply 2 and x by 3 and you would get (6+3x)=12

  3. zzr0ck3r
    • one year ago
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    I think it is easier to divide both sides by 3, then you have x+2=4

  4. zzr0ck3r
    • one year ago
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    but either way works :)

  5. Ellamallow
    • one year ago
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    Well that is not how I was shown to do it.. But yeah I guess...

  6. anonymous
    • one year ago
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    Wait what?!?!?!

  7. Ellamallow
    • one year ago
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    |dw:1441152865714:dw|

  8. anonymous
    • one year ago
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    After the 3x =6 what do i do

  9. Ellamallow
    • one year ago
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    divide 3x AND 6 by 3 to get x by itself, then you get the answer. x= ?

  10. anonymous
    • one year ago
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    X=3??

  11. anonymous
    • one year ago
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    I'm so confused

  12. zzr0ck3r
    • one year ago
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    This is how I would do it. \[3(x+2)=12\] We want to get \(x\) by itself on one side. Firsts I would divide away the \(3\) \[\frac{3(x+2)}{3}=\frac{12}{3}\\\frac{\cancel{3}(x+2)}{\cancel{3}}=4\\ \\x+2=4\] Now we want to subtract \(2\) from both sides, so that \(x\) is by itself. \[x+2-2=4-2\\x=4-2\\x=2\]

  13. Ellamallow
    • one year ago
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    sorry, my handwriting on the computer is horrible as well, that didn't help.

  14. anonymous
    • one year ago
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    Omg Thats worse! I'm so lost! Sorry guys 😩

  15. Ellamallow
    • one year ago
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    Okay, sorry. I really tried to help >.<

  16. anonymous
    • one year ago
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    Its okay I appreciate it so much

  17. anonymous
    • one year ago
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    Hi! I'm pretty new but I might be able to help... What you're looking at there in this equation is something called "Distributive property." see the 3(2+x) ? Thats' it! That's going to be the key to this problem. It gets its name from having to distribute whatever number is outside the parentheses. In this case, you would distribute the 3 into the 2, and the x. So take your three, and the two. Multiply them together. What do you get? 6. Now, do the same with the x.

  18. anonymous
    • one year ago
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    Okay i get 3 if I do 3* X

  19. zzr0ck3r
    • one year ago
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    Which part of my explanation are you confused by?

  20. anonymous
    • one year ago
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    All of it

  21. anonymous
    • one year ago
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    Yep! Perfect! Do you know what you get when you multiply 3 and x together?

  22. anonymous
    • one year ago
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    3 because x = 1

  23. anonymous
    • one year ago
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    I know that stuff but writing it out is confiding me

  24. zzr0ck3r
    • one year ago
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    it is not that \(x=1\) it is \(x=1x\)

  25. anonymous
    • one year ago
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    Not quite... In this case, we won't be treating it as a 1, instead we will treat it as just a plain x. In this case, all you would need to do is put a three next to the x! So you would end up with 3x : >

  26. zzr0ck3r
    • one year ago
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    @enderkitty29 some people like to think if there being a 1 in front of an x when there is no coefficient.

  27. anonymous
    • one year ago
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    Okay can you show how i would write that please

  28. anonymous
    • one year ago
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    So far i have 3(2+x)=12 6+3 = 12

  29. anonymous
    • one year ago
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    Ah, you're very right zzr0ck... Forgot to take into account the other ways of looking at the problems.

  30. anonymous
    • one year ago
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    Wait a minute Kaitlyn, there is something a bit off about what you have so far. You are missing an x in the equation! Do you know where it should be?

  31. anonymous
    • one year ago
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    3x?

  32. anonymous
    • one year ago
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    Perfect! The x is a very important part of the equation. Without it, you won't be able to solve it : )

  33. anonymous
    • one year ago
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    Okay what is the next step

  34. anonymous
    • one year ago
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    Now, we want to try and get the x all by itself! In this case, we must subtract something from both sides. What do you think we should subtract?

  35. anonymous
    • one year ago
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    What happens to that 3 on the outside of the ()

  36. anonymous
    • one year ago
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    3? From 12 and

  37. anonymous
    • one year ago
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    The three is no longer there, since you multiplied the two numbers by three inside the parentheses. It's almost like canceling it out, so you don't need to worry about it anymore :)

  38. anonymous
    • one year ago
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    Okay so I subtract 3 from 3x and 12?

  39. anonymous
    • one year ago
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    Nope, not the three. Make sure to remember your equation is 6 + 3x = 12.

  40. anonymous
    • one year ago
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    We are trying to get the x all by itself first. What do you need to take away from the left side of the equation to do this?

  41. anonymous
    • one year ago
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    So? 6?

  42. anonymous
    • one year ago
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    Perfect! Since you are going to subtract the 6 from the left side, you need to do this to the right side. What does our equation look like now?

  43. anonymous
    • one year ago
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    3(2+x)=12 6+3x =12 -6 -6

  44. anonymous
    • one year ago
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    Perfect! So far, we should end up with 3x = 6

  45. anonymous
    • one year ago
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    Do you understand why its 6 on the right side?

  46. anonymous
    • one year ago
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    Because whatever you do to one side you do to the other

  47. anonymous
    • one year ago
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    Right on! Now, only one more step. Almost done. Do you see the 3x? That means 3 * x

  48. anonymous
    • one year ago
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    We still need the x by itself, so we need to get the three out of there somehow. Do you know how to do that?

  49. anonymous
    • one year ago
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    6÷3?

  50. anonymous
    • one year ago
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    Wonderful job! Thats correct!

  51. anonymous
    • one year ago
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    So what do we end up with overall? What does our equation look like now?

  52. anonymous
    • one year ago
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    X=2?

  53. anonymous
    • one year ago
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    Yep! You got it! There is your answer : )

  54. anonymous
    • one year ago
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    Omg thank you!!!! Of its not to much to ask i need one more to be finished

  55. anonymous
    • one year ago
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    I can totally help!

  56. anonymous
    • one year ago
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    Thank you!!! 5-2(x-4)=20

  57. anonymous
    • one year ago
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    Alright! Remember the thing we did in our last equation called distributive property? We are going to do that here again! What do you think we should do first?

  58. anonymous
    • one year ago
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    Subtract 2 on each side?

  59. anonymous
    • one year ago
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    Nope! I'll give you a hint. It has to do with the -2(x-4).

  60. anonymous
    • one year ago
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    Or 4

  61. anonymous
    • one year ago
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    Remember what we did last time with the distributive property : )

  62. anonymous
    • one year ago
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    You add 4

  63. anonymous
    • one year ago
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    Nope! -2(x-4). What do we do with the negative two?

  64. anonymous
    • one year ago
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    Multiply

  65. anonymous
    • one year ago
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    Yeah! What are we going to multiply?

  66. anonymous
    • one year ago
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    -2

  67. anonymous
    • one year ago
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    Wonderful! So lets take the -2 and the x, and multiply them together. What do we get?

  68. anonymous
    • one year ago
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    -2x?

  69. anonymous
    • one year ago
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    Yeah! Now lets do -2 and -4.

  70. anonymous
    • one year ago
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    -6?

  71. anonymous
    • one year ago
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    Nope! Multiply them together, don't add. Remember what happens when you multiply two negatives with each other : )

  72. anonymous
    • one year ago
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    It becomes a positive?

  73. anonymous
    • one year ago
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    Right on! So what is -2 * -4 then?

  74. anonymous
    • one year ago
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    8

  75. anonymous
    • one year ago
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    Yep! So what does our equation look like now that we distributed the -2?

  76. anonymous
    • one year ago
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    5-2(x-4)=20 2x + 8 =20

  77. anonymous
    • one year ago
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    You forgot two things! First, you forgot to keep the 5 in the equation : ) Second, there should be a negative in front of the 2x. So, our equation should look like this: 5 - 2x + 8 = 20

  78. anonymous
    • one year ago
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    Got it?

  79. anonymous
    • one year ago
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    Oops yeah

  80. anonymous
    • one year ago
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    No worries, lets move on! Now, we will be doing something called "Combining like terms." This means to take numbers that are similar, and add them together! Do you see any similar numbers here?

  81. anonymous
    • one year ago
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    5? 8?

  82. anonymous
    • one year ago
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    Perfect! Now add those together, and what do you get?

  83. anonymous
    • one year ago
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    13

  84. anonymous
    • one year ago
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    So how would i write that down

  85. anonymous
    • one year ago
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    Okay, good. Now that we added the 5 and 8 together, we are going to have 13 - 2x = 20

  86. anonymous
    • one year ago
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    13 - 2x = 20 (it got cut off a bit, had to rewrite it)

  87. anonymous
    • one year ago
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    Do you understand why we added them together and got what we got?

  88. anonymous
    • one year ago
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    Yes because we are trying to get x alone

  89. anonymous
    • one year ago
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    Perfect! What do you think we should do next?

  90. anonymous
    • one year ago
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    13-20? Or 2x-20

  91. anonymous
    • one year ago
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    20 - 13 : )

  92. anonymous
    • one year ago
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    After that, what does our equation look like?

  93. anonymous
    • one year ago
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    -2x=20

  94. anonymous
    • one year ago
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    Oops nope

  95. anonymous
    • one year ago
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    -2x = 7

  96. anonymous
    • one year ago
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    Yep! There we go. What do we do now?

  97. anonymous
    • one year ago
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    2÷7

  98. anonymous
    • one year ago
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    Perrrrrfect! Now, you can either leave it as 7/2 or 4.5

  99. anonymous
    • one year ago
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    What does the paper say?

  100. anonymous
    • one year ago
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    I for 3.5

  101. anonymous
    • one year ago
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    I got 3.5

  102. anonymous
    • one year ago
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    Yep! 3.5 That's what I ment lol. Finger slipped : )

  103. anonymous
    • one year ago
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    Its Okay Omg thank you so much!!!!!!!

  104. anonymous
    • one year ago
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    You're very welcome! You're a very fast learner : ) Keep up the good work and glad I could help!

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