# How do you solve for x in 2(8-x)=-6?

Jul 18, 2016

$x = 11$

#### Explanation:

To solve for $x$, we must first distribute the $2$ across the parenthesis.

$2 \left(8 - x\right) = - 6$

$16 - 2 x = - 6$

Now isolate the variable by getting it by itself on one side. Subtract $16$ from both sides.

$\cancel{16 - 16} - 2 x = - 6 - 16$

$- 2 x = - 22$

Get rid of the coefficient to identify $x$.

$\frac{\cancel{- 2} x}{\cancel{- 2}} = - \frac{22}{-} 2$

$x = 11$