4 tháng 5 2022 lúc 21:03
\(\dfrac{x+4}{5}-x+4=\dfrac{x}{3}-\dfrac{x-2}{2}\)
\(\Leftrightarrow\dfrac{x+4}{5}-\left(x-4\right)=\dfrac{x}{3}-\dfrac{x-2}{2}\)
\(\Leftrightarrow\dfrac{6\left(x+4\right)}{30}-\dfrac{30\left(x-4\right)}{30}=\dfrac{10x}{30}-\dfrac{15\left(x-2\right)}{30}\)
\(\Leftrightarrow6x+24-30x+120=10x-15x+120\)
\(\Leftrightarrow6x-30x+15x-10x=30-120-24\)
\(\Leftrightarrow-19x=-114\)
\(\Leftrightarrow x=6\)
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