# How do you solve 5x+7=27?

Feb 3, 2016

$5 x + 7 = 27$

$\rightarrow 5 x = 27 - 7$

$\rightarrow 5 x = 20$

$\rightarrow x = \frac{20}{5} = 4$

Feb 3, 2016

Subtract $7$ from both sides of the equation
then divide both sides by $5$ to isolate $x$
giving $x = 4$

#### Explanation:

If
$\textcolor{w h i t e}{\text{XXX}} 5 x + 7 = 27$
then
$\textcolor{w h i t e}{\text{XXX}} 5 x + 7 \textcolor{red}{- 7} = 27 \textcolor{red}{- 7}$
which simplifies as
$\textcolor{w h i t e}{\text{XXX}} 5 x = 20$

If
$\textcolor{w h i t e}{\text{XXX}} 5 x = 20$
then
$\textcolor{w h i t e}{\text{XXX}} \left(5 x\right) \textcolor{red}{\div 5} = 20 \textcolor{red}{\div 5}$
which simplifies as
$\textcolor{w h i t e}{\text{XXX}} x = 4$