\(\Leftrightarrow\left|2x-1\right|=\dfrac{1}{3}+\dfrac{1}{2}=\dfrac{5}{6}\\ \Leftrightarrow\left[{}\begin{matrix}2x-1=\dfrac{5}{6}\\1-2x=\dfrac{5}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{11}{6}\\2x=\dfrac{1}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{12}\\x=\dfrac{1}{12}\end{matrix}\right.\)
\(\Leftrightarrow\left|2x-1\right|=\dfrac{5}{6}\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1=\dfrac{5}{6}\\2x-1=-\dfrac{5}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{4}{3}\\2x=-\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-\dfrac{1}{6}\end{matrix}\right.\)
