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Huy Toàn 8A (TL)

03/08/2018 at 13:08
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Find x

\(\dfrac{x}{3}-\dfrac{2x+1}{2}=\dfrac{x}{6}-x\)


Math 8


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    Mạnh Khôi 03/08/2018 at 15:47

    \(\dfrac{x}{3}-\dfrac{2x+1}{2}=\dfrac{x}{6}-x\)

    \(\Leftrightarrow\dfrac{2x}{6}-\dfrac{3\left(2x+1\right)}{6}=\dfrac{x}{6}-x\)

    \(\Leftrightarrow x=\dfrac{x}{6}-\dfrac{2x}{6}+\dfrac{3\left(2x+1\right)}{6}\)

    \(\Leftrightarrow x=\dfrac{x-2x+3\left(2x+1\right)}{6}\)

    \(\Leftrightarrow x=\dfrac{-x+6x+3}{6}\)

    \(\Leftrightarrow x=\dfrac{5x+3}{6}\)

    \(\Leftrightarrow6x=5x+3\)

    \(\Leftrightarrow6x-5x=3\)

    \(\Leftrightarrow x=3\)

    So the value of x is 3

    Huy Toàn 8A (TL) selected this answer.

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