# How do you solve x-1/5=-1/2?

Apr 14, 2017

See below.

#### Explanation:

Let's start by adding $\frac{1}{5}$ to both sides.

$x - \frac{1}{5} = - \frac{1}{2}$

$x = - \frac{1}{2} + \frac{1}{5}$

Now, we have to make common denominators (which is $10$, as $\lcm \left(2 , 5\right) = 10$)

$x = - \frac{5}{10} + \frac{2}{10}$

$x = - \frac{3}{10}$.