# How do you solve \frac{5x - 3}{2} = \frac{x + 4}{3}?

Jun 5, 2018

$x = \frac{17}{13}$

#### Explanation:

First you cross multiply:

$3 \left(5 x - 3\right) = 2 \left(x + 4\right)$

$15 x - 9 = 2 x + 8$

$13 x = 17$

$x = \frac{17}{13}$