# How do you solve \frac{x}{2}-\frac{x}{3}=\frac{5}{2}?

May 3, 2018

$x = 15$

#### Explanation:

You'll want to start by having like terms on each side. Let's do so by subtracting $\frac{x}{2}$ from both sides, and simplifying.

$- \frac{x}{3} = \frac{5}{2} - \frac{x}{2}$

$- \frac{x}{3} = \frac{5 - x}{2}$

Now we should cross multiply, giving us:

$- 2 x = 15 - 3 x$

$x = 15$
$\frac{15}{2} - \frac{15}{3} = \frac{5}{2}$
$7.5 - 5 = 2.5$
$2.5 = 2.5$