# How do you solve 2/(x+1) - 3/(x+3) = 0?

Apr 22, 2016

Rearrange and isolate $x$. Answer $x = 3$

#### Explanation:

$\frac{2}{x + 1} - \frac{3}{x + 3} = 0$

$\frac{2}{x + 1} = \frac{3}{x + 3}$

$\frac{x + 1}{2} = \frac{x + 3}{3}$

$\frac{x}{2} + \frac{1}{2} = \frac{x}{3} + 1$

$\frac{x}{2} - \frac{x}{3} = 1 - \frac{1}{2}$

$\frac{x}{6} = \frac{1}{2}$

$x = 3$

Substitute $x = 3$ into the original equation and see if it works to check the answer