# Question #edb28

Jan 21, 2018

$x \approx 3.467$

#### Explanation:

Given: $5.5 x - 15 = - 2 x + 11$

Begin by adding $15$ to both sides

$5.5 x - 15 \textcolor{red}{+ 15} = - 2 x + 11 \textcolor{red}{+ 15}$

$5.5 x + 0 = - 2 x + 26$

$5.5 x = - 2 x + 26$

Add $2 x$ to both sides:

$5.5 x \textcolor{red}{+ 2 x} = - 2 x \textcolor{red}{+ 2 x} + 26$

$7.5 x = 0 + 26$

$7.5 x = 26$

Divide both sides by $7.5$

$\frac{\cancel{7.5}}{\cancel{\textcolor{red}{7.5}}} x = \frac{26}{\textcolor{red}{7.5}}$

$x \approx 3.467$