| x - 2 | = 3x + 7
\(\Rightarrow\orbr{\begin{cases}x-2=3x+7\\x-2=-\left(3x+7\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-2=3x+7\\x-2=-3x-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-3x=7+2\\x+3x=-7+2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-2x=9\\4x=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-9}{2}\\x=\frac{-5}{4}\end{cases}}\)