# How do you solve 8(x − 13) = 24?

Jul 6, 2016

$x = 16$

#### Explanation:

To solve $8 \left(x - 13\right) = 24$

Begin by distributing the $8$ to the terms inside the parenthesis

$8 x - 104 = 24$

Next use the additive inverse to isolate the term with the variable

$8 x \cancel{- 104} \cancel{+ 104} = 24 + 104$

$8 x = 128$

Now isolate the variable using the multiplicative inverse

$\frac{\cancel{8} x}{\cancel{8}} = \frac{128}{8}$

$x = 16$