\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=2-3x\\x-\dfrac{1}{3}=3x-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}4x=\dfrac{7}{3}\\2x=\dfrac{5}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{7}{12}\\x=\dfrac{5}{6}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x-\dfrac{1}{3}=2-3x\\x-\dfrac{1}{3}=-2+3x\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}-2+3x=0\\x-\dfrac{1}{3}+2-3x=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}4x-\dfrac{7}{3}=0\\-2x+\dfrac{5}{3}=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{12}\\x=\dfrac{5}{6}\end{matrix}\right.\)
\(\left|x-\dfrac{1}{3}\right|=\left|3x-2\right|\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-2=x-\dfrac{1}{3}\\3x-2=\dfrac{1}{3}-x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=\dfrac{5}{3}\\4x=\dfrac{7}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{6}\\x=\dfrac{7}{12}\end{matrix}\right.\)
