# How do you evaluate 2x + \frac { 1} { 5} = \frac { 4} { 5} x?

Mar 12, 2018

$x = - \frac{1}{6}$

#### Explanation:

First, we take the LCM, which is $5$. We multiply all the terms by $5$. In this way, the denominator will be eliminated. So it will be

$10 x + 1 = 4 x$

We will isolate the variables on one side and it will be

$10 x - 4 x = - 1$

By subtracting, it would become

$6 x = - 1$

Divide both sides by $6$

$x = - \frac{1}{6}$