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Math Help - Help with an equation!

  1. #1
    Ash
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    Help with an equation!

    I need help solving the equation below!!! What are the steps to solving it?
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Ash View Post
    I need help solving the equation below!!! What are the steps to solving it?
    \frac{2x}{5} - \frac{2x - 1}{2} = \frac{x}{5}

    Most people hate fractions, so let's get rid of these first. We need to find a common denominator, and I would choose 2 * 5 = 10. So I'm going to multiply both sides of the equation by 10:
    10 \cdot \left ( \frac{2x}{5} - \frac{2x - 1}{2} \right ) =  10 \cdot  \left ( \frac{x}{5} \right )

    2 \cdot (2x) - 5 \cdot (2x - 1) = 2 \cdot (x)

    4x - 10x + 5 = 2x

    -6x + 5 = 2x

    -2x - 6x + 5 = -2x + 2x

    -8x + 5 = 0

    -8x + 5 - 5 = 0 - 5

    -8x = -5

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

    x = \frac{5}{8}

    -Dan
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  3. #3
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    Quote Originally Posted by Ash View Post
    I need help solving the equation below!!! What are the steps to solving it?
    (2x)/5 - (2x - 1)/2 = x/5

    Multiply each term by 10;

    10*[2x/5] - 10*[(2x - 1)/2] = 10*[x/5]

    2*(2x) - 5*(2x - 1) = 2x

    4x - 10x + 5 = 2x

    -6x + 5 = 2x

    5 = 8x

    5/8 = x

    Check: plug it in and you will see that

    1/8 = 1/8
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