# How do you solve \frac { x } { x - 2} + \frac { 1} { 2} = \frac { x + 6} { x - 2}?

Mar 14, 2017

$x = 14$

#### Explanation:

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

or

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

or

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

or

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

or

$x - 2 = 12$

or

$x = 12 + 2$

or

$x = 14$