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