\(\left|\dfrac{3}{4}-\dfrac{1}{2}x\right|+\dfrac{1}{3}=\dfrac{5}{6}\)
\(\Rightarrow\left|\dfrac{3}{4}-\dfrac{1}{2}x\right|=\dfrac{5}{6}-\dfrac{1}{3}\)
\(\Rightarrow\left|\dfrac{3}{4}-\dfrac{1}{2}x\right|=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{3}{4}-\dfrac{1}{2}x=\pm\dfrac{1}{2}\)
\(\Rightarrow\left[{}\begin{matrix}\dfrac{3}{4}-\dfrac{1}{2}x=\dfrac{1}{2}\\\dfrac{3}{4}-\dfrac{1}{2}x=\dfrac{-1}{2}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=\dfrac{1}{4}\\\dfrac{1}{2}x=\dfrac{5}{4}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=\dfrac{5}{2}\end{matrix}\right.\)
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