# How do you solve 5x+15=8x-40?

Dec 30, 2016

$x = 18 \frac{1}{3}$

#### Explanation:

$5 x + 15 = 8 x - 40$

Add $40$ to each side.

$5 x + 55 = 8 x$

Subtract $5 x$ from each side.

$55 = 3 x$

Divide both sides by $3$.

$\frac{55}{3} = \frac{3 x}{3}$

$18 \frac{1}{3} = \frac{\cancel{3} x}{\cancel{3}}$

$18 \frac{1}{3} = x$ or $x = 18 \frac{1}{3}$