#### Answer

$x=9$

#### Work Step by Step

Add 5 on both sides of the equation to obtain:
$\sqrt{3x-2} = 5$
Square both sides of the equation to obtain:
$3x-2=25$
Add 2 on both sides of the equation to obtain:
$3x = 27$
Divide 3 on both sides to obtain:
$x =\frac{27}{3}
\\x=9$