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