#### Answer

$\frac{7x-14}{10}$

#### Work Step by Step

By inspection, we see that the LCM of the denominators is $10$. Therefore, we create a common denominator using this LCM and obtain:
$\frac{x+3}{5}+\frac{x-4}{2}$
=$\frac{2(x+3)+5(x-4)}{10}$
=$\frac{2x+6+5x-20}{10}$
=$\frac{7x-14}{10}$