\(\left(x+3\right)\left(5x-20\right)=4-x\)
\(\Leftrightarrow5\left(x+3\right)\left(x-4\right)-4+x=0\)
\(\Leftrightarrow\left(x-4\right)\left(5x+15+1\right)=0\)
\(\Leftrightarrow\left(x-4\right)\left(5x+16\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=4\\x=-\frac{16}{5}\end{cases}}\)