# How do you solve \frac { 2x + 3} { 8} = \frac { 3x - 4} { 7}?

May 20, 2018

$x = \frac{53}{10}$

#### Explanation:

$\setminus \frac{2 x + 3}{8} = \setminus \frac{3 x - 4}{7}$

cross multiply:

$7 \left(2 x + 3\right) = 8 \left(3 x - 4\right)$

distribute:

$14 x + 21 = 24 x - 32$

$53 = 10 x$

$x = \frac{53}{10}$