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Math Help - solve the equation

  1. #1
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    Question solve the equation

    1/4(x+4) = 2/5 (x+2)

    Please show the steps to get the answer. Thank you.
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  2. #2
    Senior Member vincisonfire's Avatar
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     \frac{1}{4 \cdot (x+4)} = \frac{2}{5 \cdot (x+2)}
     5 \cdot (x+2) = 2 \cdot 4 \cdot (x+4)
     5\cdot x + 10 = 8 \cdot x + 32
     -22 = 3 \cdot x
     \frac{-22}{3} =  x
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  3. #3
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    thanks

    Thank you! Have a nice day!
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  4. #4
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    oops! The answer in the book says 4/3

    answer = 4/3
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  5. #5
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    hope this helps

    1/4 (x+4) = 2/5 (x+2)
    (4) (1/4) (x+4) = (2/5) (x+2) (4) multiply both sides to get rid of 1/4
    (X+4) = (8/5) (x+2)
    (5) (x+4) = (8/5) (x+2) (5) multiply both sides to get rid of 5 in denominator
    5x+20 = 8(x+2)
    5x + 20 = 8x +16 subtract 5x from both sides
    20 = 8x - 5x + 16
    20 - 16 = 3x subtract 16 from both sides
    4 = 3x
    4/3 = x divide both sides by 3
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  6. #6
    Senior Member vincisonfire's Avatar
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    Sorry it seems I'm very poor at numerical calculations.
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  7. #7
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    Ah!

    so the equation was

    (x+4)/4 = 2(x+2)/5 ?
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