# How do you solve 1/x + 2/(x-5)=0?

May 1, 2018

$x = \frac{5}{3}$

#### Explanation:

Given: $\frac{1}{x} + \frac{2}{x - 5} = 0$

Subtract $\frac{1}{x}$ from both sides

$\frac{2}{x - 5} = - \frac{1}{x}$

Cross multiply

$2 x = - \left(x - 5\right)$

$2 x = - x + 5$

Add $x$ to both sides

$3 x = 5$

Divide both sides by 3

$x = \frac{5}{3}$