Answer
$= \frac{8}{3x}$
Work Step by Step
1) Find a common denominator: Multiply the first fraction by 3/3 and leave the second fraction unchanged as you already can form a common denominator of $6x$ between the two fractions.
2) Add the fractions
$= \frac{3}{2x} + \frac{7}{6x}$
$= \frac{3(3)}{6x} + \frac{7}{6x}$
$= \frac{9}{6x} + \frac{7}{6x}$
$= \frac{16}{6x}$
$= \frac{8}{3x}$