# How do you find the solution set for 2/3a - 1/5a = 2?

Aug 15, 2015

If you multiply both sides by $15$ you can clear the denominators and solve as a simple integer equation to get:
$\textcolor{w h i t e}{\text{XXXX}}$$a = \frac{30}{7} = 4 \frac{2}{7}$

#### Explanation:

Given $\frac{2}{3} a - \frac{1}{5} a = 2$

Multiply both sides by $15$
$\textcolor{w h i t e}{\text{XXXX}}$$10 a - 3 a = 30$
Simplify the left side
$\textcolor{w h i t e}{\text{XXXX}}$$7 a = 30$
Divide both sides by $7$
$\textcolor{w h i t e}{\text{XXXX}}$#a = 30/7