# How do you solve 3.5(x-8/4) = 2.8?

Feb 19, 2016

$x = \frac{14}{5}$

#### Explanation:

Simplify 8/4 to 2.

$3.5 \left(x - 2\right) = 2.8$

Divide both sides by 3.5

$x - 2 = 0.8$

$x = 2.8 = \frac{14}{5}$

Feb 19, 2016

$x = 2 \frac{4}{5}$

#### Explanation:

First do the easy bit and replace $\frac{8}{4}$ with $2$

$\textcolor{w h i t e}{\text{XXX}} 3.5 \left(x - 2\right) = 2.8$

Divide both sides by $3.5$
(this is easier if you notice $3.5 = 7 \times 0.5$ and $2.8 = 7 \times 0.4$)
$\textcolor{w h i t e}{\text{XXX}} \left(x - 2\right) = \frac{4}{5}$

Add $2$ to both sides:
$\textcolor{w h i t e}{\text{XXX}} x = 2 \frac{4}{5}$ (or $\frac{14}{5}$)