Answer
$\frac{19}{24x}$
Work Step by Step
By inspection, we see that the LCM of the denominators is $24x$. Therefore, we create a denominator using this LCM and obtain:
$\frac{5}{8x}+\frac{1}{6x}$
=$\frac{3(5)+4(1)}{24x}$
=$\frac{15+4}{24x}$
=$\frac{19}{24x}$