# How do you solve x+1/4x=30?

May 10, 2017

Combine the x-terms and isolate x to solve.

#### Explanation:

$x + \frac{1}{4} x = 30$
Since $x$ can be written as $\frac{4}{4} x$:
$\frac{4}{4} x + \frac{1}{4} x = 30$
$\frac{5}{4} x = 30$
Now we can multiply both sides by $4$ and divide both sides by $5$:
$\left(\frac{4}{5}\right) \left(\frac{5}{4} x\right) = 30 \left(\frac{4}{5}\right)$
$x = 24$ which is our final answer.