# How do you solve 3/2x-4/5=8?

Jun 14, 2015

x =color(green)(88/15

#### Explanation:

$\frac{3}{2} x - \frac{4}{5} = 8$

Cross multiplying the denominators of the L.H.S to obtain the L.C.M
($10$):

$\frac{3 x .5 - 4.2}{10} = 8$

$\frac{15 x - 8}{10} = 8$
$\left(15 x - 8\right) = 8 . 10$

$15 x = 80 + 8$

x =color(green)(88/15