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anonymous

  • 5 years ago

2(3x-7)+4(3x+2)=6(5x+9)+3

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  1. dumbcow
    • 5 years ago
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    distribute and combine like terms

  2. anonymous
    • 5 years ago
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    then move your x's to a side and your constants to the other side

  3. anonymous
    • 5 years ago
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    can you please show me how? I am so confused

  4. dumbcow
    • 5 years ago
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    2(3x+7) multiply the 2 to each term inside the parenthesis 2*3x + 2*7 6x + 14 do that for each one

  5. anonymous
    • 5 years ago
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    so the next one would be 4x3+4x2 = 12x+8

  6. dumbcow
    • 5 years ago
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    good

  7. anonymous
    • 5 years ago
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    the next is 6x5+6x9 = 30x+54

  8. dumbcow
    • 5 years ago
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    good now add terms that have the same variable ex: 2x-4x = -2x you cant add constants with x's

  9. dumbcow
    • 5 years ago
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    i just noticed i messed up on the first one it should be 6x-14

  10. anonymous
    • 5 years ago
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    I saw its okay. I wrote it down as subtraction

  11. anonymous
    • 5 years ago
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    so my problem now shows 6x-14+12x+8=30x+54+3 right

  12. dumbcow
    • 5 years ago
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    correct

  13. anonymous
    • 5 years ago
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    6x+12x+30x = 48x

  14. anonymous
    • 5 years ago
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    If I put the x's together

  15. dumbcow
    • 5 years ago
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    almost dont forget theres an "=" sign separating them so add 6x+12x = 18x but keep 30x on other side for now

  16. anonymous
    • 5 years ago
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    okay so then it becomes......6x+12x=18x+30x+54

  17. anonymous
    • 5 years ago
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    6x-12

  18. anonymous
    • 5 years ago
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    ugh....no its.....18x-14+12=30x+54+3

  19. dumbcow
    • 5 years ago
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    good now add the constants together on both sides

  20. anonymous
    • 5 years ago
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    18x+26=30x+57

  21. dumbcow
    • 5 years ago
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    the +12 should be+8

  22. dumbcow
    • 5 years ago
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    and the 14 is negative

  23. anonymous
    • 5 years ago
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    -14+12= -2

  24. dumbcow
    • 5 years ago
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    correct but it should -14+8 i think you just copied it down wrong

  25. anonymous
    • 5 years ago
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    oops...my problems got mixed up some how.....let me back up. It should be 18x-14+8=30x+54+3

  26. dumbcow
    • 5 years ago
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    correct

  27. anonymous
    • 5 years ago
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    okay so now I get......18x-6=30x+57

  28. dumbcow
    • 5 years ago
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    correct

  29. dumbcow
    • 5 years ago
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    now we want to combine terms from the other side of the equal sign lets add 6 to both sides this works because -6+6=0 on left side

  30. anonymous
    • 5 years ago
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    so left side is just now 18x=30x+57+6 which is 8x=30x+63

  31. dumbcow
    • 5 years ago
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    very good now to get all the x's on the left we should do what?

  32. anonymous
    • 5 years ago
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    would I subtract them since the left side was subtracting??

  33. dumbcow
    • 5 years ago
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    yes, the goal is to cancel the x's on the right

  34. dumbcow
    • 5 years ago
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    30x-30x =0

  35. anonymous
    • 5 years ago
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    18x=63 thats what I am left with right?

  36. dumbcow
    • 5 years ago
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    remember before we added 6 to both sides same here whatever you do to one side you do to the other so we have to subtract 30x on the left too

  37. anonymous
    • 5 years ago
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    12x=63

  38. dumbcow
    • 5 years ago
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    watch out for your signs (18-30=-12) 2/2 = 1 -4/-4 =1 so if we divide a num by itself we always get 1 and the goal is to have 1x on the left side but right now we have -12 so have to divide by -12 on both sides

  39. anonymous
    • 5 years ago
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    x=63/12

  40. anonymous
    • 5 years ago
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    so if we divide 63 by 12 it comes to 5.25. so x=5.25

  41. dumbcow
    • 5 years ago
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    almost watch those signs its negative but yes the number is correct :)

  42. anonymous
    • 5 years ago
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    thank you!

  43. dumbcow
    • 5 years ago
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    your welcome remember those steps

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