# How do you solve x/2+x/3=10?

Jun 21, 2018

$x = 12$

#### Explanation:

We'll multiply by $\left(2 \cdot 3 = 6\right)$ and we obtain that

$\frac{x}{2} + \frac{x}{3} = 10$

becomes

$\frac{x}{2} \cdot \frac{3}{3} + \frac{x}{3} \cdot \frac{2}{2} = 10 \cdot 6$

$3 x + 2 x = 60$

which gives us

$5 x = 60$

We divide both sides by $5$ and we get

$x = 12$