Solve for: -4x+40 < 4x+16

Expression: $-4x+40 < 4x+16$

Move the variable to the left-hand side and change its sign

$-4x+40-4x < 16$

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

$\begin{align*}&x > 3 \\&\begin{array} { l }x \in \langle3, +\infty\rangle\end{array}\end{align*}$