# How do you solve \frac { 1} { 4} b + \frac { 2} { 5} b - 5= - 3?

Dec 7, 2016

$b = \frac{40}{13}$

#### Explanation:

You can write the equivalent equation:

$\frac{1}{4} b + \frac{2}{5} b = 5 - 3$

and then sum the terms and get:

$\frac{13}{20} b = 2$

that's

$b = 2 \cdot \frac{20}{13}$

$b = \frac{40}{13}$