# How do you solve -9( x - 5) = x + 22\frac { 1} { 2} ?

Feb 1, 2017

$x = \frac{9}{4}$

#### Explanation:

$- 9 \left(x - 5\right) = x + 22 \frac{1}{2}$

or

$- 9 x + 45 = x + \frac{45}{2}$

or

$9 x + x = 45 - \frac{45}{2}$

or

$10 x = \frac{45}{2}$

or

$x = \frac{45}{20}$

or

$x = \frac{9}{4}$