$-4x+40-4x < 16$
Move the constant to the right-hand side and change its sign$-4x-4x < 16-40$
Collect like terms$-8x < 16-40$
Calculate the difference$-8x < -24$
Divide both sides of the inequality by $-8$ and flip the inequality sign$\begin{align*}&x > 3 \\&\begin{array} { l }x \in \langle3, +\infty\rangle\end{array}\end{align*}$