# How do you solve 2(2.5b -9) +6b =7?

Apr 27, 2018

$b = \frac{25}{11}$ or about $2.27$

#### Explanation:

$2 \left(2.5 b - 9\right) + 6 b = 7$

First, expand by distributing $2 \left(2.5 b - 9\right)$:
$5 b - 18 + 6 b = 7$

Combine $5 b$ and $6 b$:
$11 b - 18 = 7$

Add $\textcolor{red}{18}$ to both sides of the equation:
$11 b - 18 \quad \textcolor{red}{+ \quad 18} = 7 \quad \textcolor{red}{+ \quad 18}$

$11 b = 25$

Divide both sides by $11$:
$\frac{11 b}{\textcolor{red}{11}} = \frac{25}{\textcolor{red}{11}}$

$b = \frac{25}{11}$ or about $2.27$