|x - 1| = 2x
⇔ \(\left[{}\begin{matrix}x-1=2x\\x-1=-2x\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x-2x=1\\x+2x=1\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}-x=1\\3x=1\end{matrix}\right.\)
⇔ \(\left[{}\begin{matrix}x=-1\\x=\dfrac{1}{3}\end{matrix}\right.\)