# How do you solve -\frac { 1} { 9} ( x - 8) = - 2?

Dec 2, 2017

$x = 26$

#### Explanation:

Distribute $- \frac{1}{9}$ to $\left(x - 8\right)$

$- \frac{1}{9} \left(x - 8\right) = - 2$

Note that (negative)*(negative)=positive

$- \frac{1}{9} x + \frac{8}{9} = - 2$

You want to isolate x, so move $\frac{8}{9}$ to the other side by subtracting on both sides.

$- \frac{1}{9} x + \left(\frac{8}{9}\right) - \left(\frac{8}{9}\right) = - 2 - \left(\frac{8}{9}\right)$

$- \frac{1}{9} x = - \frac{26}{9}$

Divide out (on both sides) the $- \frac{1}{9}$ to get x

$- \frac{1}{9} x = - \frac{26}{9}$

$\frac{- \frac{1}{9} x}{- \frac{1}{9}} = \frac{- \frac{26}{9}}{- \frac{1}{9}}$

$x = 26$