Ta có: \(\dfrac{5}{6}\left|\dfrac{3}{8}-x\right|-\left(-\dfrac{7}{8}+\dfrac{11}{12}-\dfrac{5}{6}\right)=1\)
\(\Leftrightarrow\dfrac{5}{6}\cdot\left|x-\dfrac{3}{8}\right|=\dfrac{5}{24}\)
\(\Leftrightarrow\left|x-\dfrac{3}{8}\right|=\dfrac{1}{4}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{3}{8}=\dfrac{1}{4}\\x-\dfrac{3}{8}=-\dfrac{1}{4}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{8}\\x=\dfrac{1}{8}\end{matrix}\right.\)