Answer
$x=47$
Work Step by Step
$\sqrt (3x+3)-4=8$
Add 4 to both sides of the equation.
$\sqrt (3x+3)=12$
Square both sides.
$(\sqrt (3x+3))^{2}=12^{2}$
$3x+3=144$
Subtract 3 from both sides.
$3x=141$
Divide both sides by 3.
$x=47$