# How do you solve 1/2+5/(x-2)=3?

Mar 20, 2017

$\textcolor{g r e e n}{x = 4}$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \frac{1}{2} + \frac{5}{x - 2} = 3$

Multiplying everything on both sides by $2 \left(x - 2\right)$
$\textcolor{w h i t e}{\text{XXX}} x - 2 + 10 = 6 x - 12$

Simplifying
$\textcolor{w h i t e}{\text{XXX}} 5 x = 20$

$\textcolor{w h i t e}{\text{XXX}} x = 4$