# How do you solve the rational equation 2/ (5x-1) - 2/(3x+5) = 0?

Feb 20, 2016

Put on an equal denominator

#### Explanation:

The Least Common Denominator would be $\left(5 x - 1\right) \left(3 x + 5\right)$

$\frac{2 \left(3 x + 5\right)}{\left(5 x - 1\right) \left(3 x + 5\right)} - \frac{2 \left(5 x - 1\right)}{\left(3 x + 5\right) \left(5 x - 1\right)} = 0$

Eliminating the denominators

6x + 10 - (10x - 2) = 0

-4x = -8

x = 2

Hopefully this helps!