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BioHazard9064

  • one year ago

Please help Im stuck on the last one. Solve for x: 2 over 5 (x - 4) = 2x.

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  1. anonymous
    • one year ago
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    \[\frac{2}{5}(x-4) = 2x\]

  2. anonymous
    • one year ago
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    Step : 1 - Multiply by 5 both the sides first.. Step : 2 - Then divide by 2 both the sides.. Step : 3 - Then, subtract \(x\) from both the sides. Step : 4 - Then, divide by 4 both the sides. Finally, you will get the value of \(x\)..

  3. BioHazard9064
    • one year ago
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    so multiply 2 over 5 by 5

  4. BioHazard9064
    • one year ago
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    and 2x?

  5. anonymous
    • one year ago
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    yes.. What you got after step 1?

  6. BioHazard9064
    • one year ago
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    10 over 5

  7. anonymous
    • one year ago
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    Just do it, if you are wrong, I will correct, now try, don't hesitate..

  8. anonymous
    • one year ago
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    Can't you cancel 5 with 5 there?

  9. BioHazard9064
    • one year ago
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    yes

  10. BioHazard9064
    • one year ago
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    oh the 5 cancels that 5 leaving me with 2

  11. anonymous
    • one year ago
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    \[\frac{2}{5}(x-4) \times 5 = 2x \times 5 \\ \frac{2}{\cancel{5}}(x-4) \times \cancel{5} = 10x \\ 2(x-4) = 10x\]

  12. anonymous
    • one year ago
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    This is what you get after step 1.. Now what you get after step 2??

  13. BioHazard9064
    • one year ago
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    then I divide by 2

  14. anonymous
    • one year ago
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    yeah do it..

  15. BioHazard9064
    • one year ago
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    (x-4)=5x

  16. anonymous
    • one year ago
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    Wow, superb..!! :) Now (x-4) you can write it as : x - 4, without brackets too, no harm...

  17. anonymous
    • one year ago
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    \(x - 4 = 5x\)

  18. anonymous
    • one year ago
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    Now, subtract \(x\) from both sides which is our 3rd step. Do it..

  19. BioHazard9064
    • one year ago
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    -4=5

  20. anonymous
    • one year ago
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    LHS is -4.. that is only good, what about RHS?

  21. anonymous
    • one year ago
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    \[x - 4 \color{red}{- x} = 5x \color{red}{-x} \\ \cancel{x} - 4 \color{red}{\cancel{-x}} = 5x \color{red}{- x} \\ -4 = 5x \color{red}{- x}\]

  22. anonymous
    • one year ago
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    Now tell me what is \(5x-x\) = ??

  23. BioHazard9064
    • one year ago
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    5

  24. anonymous
    • one year ago
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    How?

  25. anonymous
    • one year ago
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    I tell you by one more method.. Okay, take \(x =2\), now \(5x = 5 \times 2 = 10\)

  26. anonymous
    • one year ago
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    Is this good? I have taken the value of x = 2, x is any number there, it is variable, it can take any value, so I took its value as 2 just as an example...

  27. anonymous
    • one year ago
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    \(5x\) means \(5 \times x\) that is 5 is multiplied with \(x\)..

  28. BioHazard9064
    • one year ago
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    sorry my computer froze and reset

  29. BioHazard9064
    • one year ago
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    so it pasted my last message

  30. anonymous
    • one year ago
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    If I take x = 2, then \(5x\) becomes \(5 \times x = 5 \times 2 = 10\), this you got?

  31. BioHazard9064
    • one year ago
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    yes

  32. anonymous
    • one year ago
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    So, you have : |dw:1437505195878:dw|

  33. anonymous
    • one year ago
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    You are getting how I got \(5x-x\) = 4x ??

  34. BioHazard9064
    • one year ago
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    yes

  35. anonymous
    • one year ago
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    Or you can do it by distributive property too.. \[5x - x\] Take \(x\) common from both: \[5x - x \\ 5x - 1x\\x(5-1) \\ x (4) \\ 4x\]

  36. anonymous
    • one year ago
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    See, if have \(x-x\), then you will cancel that, if you have \(2x-2x\), then also you can cancel, both the terms should be same.. But here one is 5x and other is simply x, so it is quite risky to cancel it and get 0 marks for your answer..

  37. anonymous
    • one year ago
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    So are you clear how we got 4x ?

  38. BioHazard9064
    • one year ago
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    Yes

  39. anonymous
    • one year ago
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    Coming back to our original question: We reached: \[-4 = 5x - x \\ -4 = 4x\] This is what we got after step 3. Now do step 4..

  40. BioHazard9064
    • one year ago
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    1

  41. anonymous
    • one year ago
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    Do it properly, what you got on Left Side?

  42. BioHazard9064
    • one year ago
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    -1

  43. anonymous
    • one year ago
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    And on right side??

  44. BioHazard9064
    • one year ago
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    1

  45. anonymous
    • one year ago
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    See, an equation has two sides and = sign in between, so write them fully when you are writing: So after 4th step you get: \[-1 = 1x \\ -1 = x \\ .. \\ \color{green}{x = -1}\]

  46. anonymous
    • one year ago
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    Don't forget the x you are having on right side, why are you not considering x there?

  47. BioHazard9064
    • one year ago
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    I did

  48. BioHazard9064
    • one year ago
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    Would the answer be -1

  49. anonymous
    • one year ago
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    \[-4 = 4x \\ \text{Divide by 4 :} \\ \frac{-\cancel4}{\color{red}{\cancel{4}}} = \frac{\cancel{4}x}{\color{red}{\cancel{4}}} \\ -1 = x\]

  50. anonymous
    • one year ago
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    The value of \(x\) is \(-1\)..

  51. BioHazard9064
    • one year ago
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    Thank you for helping me to understand and not just giving me the answer

  52. anonymous
    • one year ago
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    It is okay buddy, we are here to learn and get learned... :)

  53. BioHazard9064
    • one year ago
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    true

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