\(\left(5x+\dfrac{5}{3}-\dfrac{1}{5}\right)-\left(2x+\dfrac{2}{5}-\dfrac{8}{3}\right)+\left(x-\dfrac{13}{3}-\dfrac{7}{5}\right)=\dfrac{3}{2}\)
\(\Rightarrow5x+\dfrac{5}{3}-\dfrac{1}{5}-2x-\dfrac{2}{5}+\dfrac{8}{3}+x-\dfrac{13}{3}-\dfrac{7}{5}=\dfrac{3}{2}\)
\(\Rightarrow\left(5x-2x+x\right)+\left(\dfrac{5}{3}+\dfrac{8}{3}-\dfrac{13}{3}\right)+\left(-\dfrac{1}{5}-\dfrac{2}{5}-\dfrac{7}{5}\right)=\dfrac{3}{2}\)
\(\Rightarrow4x+0-\dfrac{10}{5}=\dfrac{3}{2}\)
\(\Rightarrow4x-2=\dfrac{3}{2}\)
\(\Rightarrow4x=\dfrac{3}{2}+2\)
\(\Rightarrow4x=\dfrac{7}{2}\)
\(\Rightarrow x=\dfrac{7}{2}:4\)
\(\Rightarrow x=\dfrac{7}{8}\)
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