Answer
$x = \frac{11}{3}$ or $x = -\frac{1}{3}$
Work Step by Step
$(3x - 5)^2=36$
Get the square root of both sides.
$\sqrt {(3x - 5)^2}=\sqrt{36}$
$3x - 5=±6$
$3x-5 = 6$ or $3x-5 = -6$
Add $5$ to both sides.
$3x-5 +5= 6+5$ or $3x-5+5 = -6+5$
$3x= 11$ or $3x=-1$
$x = \frac{11}{3}$ or $x = -\frac{1}{3}$