# How do you solve  (x/3) + (x/2) = (5/6)?

Mar 13, 2018

$x = 1$

#### Explanation:

Multiply the entire equation by $6$. This makes

$2 x + 3 x = 5$

$5 x = 5$

Then re-arrange and divide both sides by $5$

$\frac{5 x}{5} = \frac{5}{5}$

$x = 1$

Mar 13, 2018

$x = 1$

#### Explanation:

1) Find a common denominator on the left side.

$\frac{2}{2} \left(\frac{x}{3}\right) + \frac{3}{3} \left(\frac{x}{2}\right) = \frac{5}{6}$

You would get:

$\frac{2 x}{6} + \frac{3 x}{6} = \frac{5}{6}$

$\frac{2 x + 3 x}{6} = \frac{5}{6}$

2) Multiply both sides by $6$. This would give you:

$2 x + 3 x = 5$

3) Factor out an $x$.

$x \left(2 + 3\right) = 5 \implies 5 x = 5$

4) Divide both sides by $5$ to get

$x = 1$