# How do you solve (2x)/9 + 1/3 = 5?

May 8, 2016

Get rid of the fractions first, then solve for the unknown.

$x = 21$

#### Explanation:

Whenever an equation has fractions, it is possible to get rid of them by multiplying each term by the LCM of the denominators.

$\frac{2 x}{9} + \frac{1}{3} = 5 \text{ } \times 9$

$\textcolor{red}{9} \times \frac{2 x}{9} + \textcolor{red}{9} \times \frac{1}{3} = \textcolor{red}{9} \times 5$

$\cancel{9} \times \frac{2 x}{\cancel{9}} + {\cancel{9}}^{3} \times \frac{1}{\cancel{3}} = 9 \times 5$

$2 x + 3 = 45$

$2 x = 45 - 3$

$2 x = 42$

$x = 21$