#### Answer

$ = \frac{22x-19}{20}$

#### Work Step by Step

1. Find a common denominator: Multiply the first fraction by $4$ and the second fraction by $5$ to obtain a common denominator of $20$:
$= \frac{4(3x+4)}{20} + \frac{5(2x-7)}{20}$
$= \frac{12x+16}{20} + \frac{10x-35}{20}$
2. Add the fractions
$ = \frac{12x+16+10x-35}{20}$
$ = \frac{22x-19}{20}$