|2x-1|=3x+2
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(3x+2-2x+1\right)\left(3x+2+2x-1\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{2}{3}\\\left(x+3\right)\left(5x+1\right)=0\end{matrix}\right.\Leftrightarrow x=-\dfrac{1}{5}\)