# How do you solve x+2/3=3/5 by clearing the fractions?

Sep 28, 2017

$x = - \frac{1}{15}$

#### Explanation:

Multiply through each fraction by the $L C D$, which in this case is $15$.

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

$15 x + 10 = 9$

Subtract: $15 x = - 1$

Divide both sides by $15$: $x = - \frac{1}{15}$