# How do you solve 0.8( x - 8) = 6.4?

Mar 8, 2018

$x = 16$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} 0.8 \left(x - 8\right) = 6.4$

Multiply both sides by $10$
then divide both sides by $8$
(these steps could be combined as divide both sides by $0.8$)
$\textcolor{w h i t e}{\text{XXX}} 8 \left(x - 8\right) = 64$
$\textcolor{w h i t e}{\text{XXX}} \left(x - 8\right) = 8$

Add $8$ to both sides
$\textcolor{w h i t e}{\text{XXX}} x = 16$

Mar 8, 2018

$x = 16$

#### Explanation:

Firstly, expand out the bracket.

$0.8 \left(x - 8\right) = 6.4$

$0.8 x - \left(0.8 \cdot 8\right) = 6.4$

$0.8 x - 6.4 = 6.4$

Next, add $6.4$ to both sides

$0.8 x - 6.4 + 6.4 = 6.4 + 6.4$

$0.8 x = 12.8$

Now, divide both sides by $0.8$

$\frac{0.8 x}{0.8} = \left(\frac{12.8}{0.8}\right)$

$x = 16$