Example

Solve for $v: \quad \displaystyle 7v-\frac{1}{5}=-\frac{5}{2}v-\frac{6}{5}$

Solution

Let's clear fractions as a first step. The least common multiple of all denominators is $10$, so we multiply both sides by $10$:

or

Next, let's get the $v$'s all on one side by adding $25v$ to both sides:

Now add $2$ to both sides to get

Finally we divide both sides by $95$:

or

The equation has the single solution $v=-2/19$.