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