# How do you solve 2x+2/3= 4/5 ?

Feb 17, 2016

$x = - \frac{1}{5}$

#### Explanation:

The common denominator is $3 \times 5 = 15$.

Multiply the terms on both sides by $15$.

$2 x \left(15\right) + \frac{2}{3} \left(15\right) = \frac{4}{5} \left(15\right)$

Simplify.

$30 x + \frac{30}{3} = \frac{60}{15}$

Simplify the fractions.

$30 x + 10 = 4$

Subtract $10$ from both sides.

$30 x = 4 - 10$

Simplify.

$30 x = - 6$

Divide both sides by $30$.

$x = \frac{- 6}{30}$

Simplify.

$x = - \frac{6}{30}$

Simplify the fraction.

$x = - \frac{1}{5}$