Answer
$\frac{17x}{8}$
Work Step by Step
By inspection, we see that the LCM is $9$. Therefore, we create a common denominator to obtain:
$\frac{5x}{3}+\frac{2x}{9}$
$=\frac{3(5x)+2x}{9}$
$=\frac{15x+2x}{8}$
$=\frac{17x}{8}$
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