$$\begin{array}{rlll}
4x+5&=&-4+x\qquad &\mbox{minus x from both sides}\\\\
4x+5-x&=&-4+x-x\qquad &\mbox{}\\\\
3x+5&=&-4\qquad &\mbox{minus 5 from both sides}\\\\
3x&=&-9\qquad &\mbox{divide both sides by 3}\\\\
x&=&-3\qquad &\mbox{}\\\\
\end{array}$$
.