\(\left|x-2\right|=-3x\)
\(\Rightarrow\left[{}\begin{matrix}x-2=-3x\\2-x=-3x\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2=4x\\2=-2x\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{2}\\x=-1\end{matrix}\right.\)
Vậy \(x=\dfrac{1}{2};x=-1\)