=>|2x+1|=3x+5
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{5}{3}\\\left(3x+5-2x-1\right)\left(3x+5+2x+1\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x>=-\dfrac{5}{3}\\\left(x+4\right)\left(5x+6\right)=0\end{matrix}\right.\Leftrightarrow x=-\dfrac{6}{5}\)