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Math Help - I need help solving this equation

  1. #1
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    I need help solving this equation

    (x-3/5)-1= (x-5)/4
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  2. #2
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    Hello joshua17hernandez!

    Quote Originally Posted by joshua17hernandez View Post
    (x-3/5)-1= (x-5)/4
    You use brackets, I hope you know, what they mean. So you want to solve

    (x - \frac{3}{5}) - 1 = \frac{x-5}{4}, right? Then

    x - \frac{3}{5} - \frac{5}{5} = \frac{x}{4} - \frac{5}{4}

    x - \frac{8}{5} = \frac{x}{4} - \frac{5}{4}

    - \frac{8}{5} + \frac{5}{4} = \frac{x}{4}-x

    - \frac{32}{20} + \frac{25}{20} = \frac{x}{4}-\frac{4x}{4}

    -\frac{7}{20} = \frac{-3x}{4}

    -\frac{7*4}{20} = -3x

    -\frac{7}{5} = -3x

    -(-\frac{7}{5*3}) = x

    +\frac{7}{15} = x

    Do you understand?

    Rapha
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  3. #3
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    Oh yes, I did use the bracket...but i used them the wrong way sorry i meant to write it like this...

    x-3 -1= x-5
    5 4

    wait the 4 is suppose to be under the x-5
    this is my real problem i kept getting x=9
    but my book says the answer is x=-7 and i don't seem to understand how they got that answer.

    Can you help once again?
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  4. #4
    Senior Member pacman's Avatar
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    you mean (x-3)/5 - 1 = (x-5)/4? ok

    multiply both sides WITH 20, the product of 5 and 4.

    20(x-3)/5 - 20 (1) = 20(x-5)/4, cancel common factors

    4(x-3) - 20 = 5(x-5);

    4x - 12 - 20 = 5x - 25

    4x - 5x = -25 + 32

    -x = 7

    x = -7.

    Maybe this IS THE ANSWER that you want
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  5. #5
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    Oh yeah i see what i did, i had multiplied 4 by x, -3 and -1. Forgetting that i was suppose to multiply the -1 by 20.

    Thanks Alot
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