# How do you solve (2x)/(2x+4)=(3x)/(x+2)?

Apr 13, 2018

$x = 0$

#### Explanation:

$\frac{2 x}{2 x + 4} = \frac{3 x}{x + 2}$
$\cancel{\frac{2}{2}} \cdot \frac{x}{x + 2} = \frac{3 x}{x + 2}$
$\frac{3 x - x}{x + 2} = 0$
$\frac{2 x}{x + 2} = 0$
So: if x≠-2,
$2 x = 0$
$x = 0$ we see that x≠-2,
so this is the solution !