\(\Leftrightarrow\left(x+2\right)\left(2x-3\right)=\left(x+2\right)\left(x-2\right)\\ \Leftrightarrow\left(x+2\right)\left(2x-3\right)-\left(x+2\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(2x-3-x+2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-1\right)=0\)
=> x = -2 ; x=1