# How do you solve 2/(3w)=2/15+12/(5w)?

Dec 18, 2016

$w = - 13$

#### Explanation:

color(green)([2/(3w)color(red)(xx1)] =[2/15color(red)(xx1)]+[12/(5w)color(red)(xx1)]

color(green)([2/(3w)color(red)(xx5/5)] =[2/15color(red)(xxw/w)]+[12/(5w)color(red)(xx3/3)]

$\frac{10}{15 w} = \frac{2 w}{15 w} + \frac{36}{15 w}$

Multiply both sides by $15 w$

$10 = 2 w + 36$

Subtract 36 from both sides

$- 26 = 2 w$

Divide both sides by 2

$- \frac{26}{2} = w$

$w = - 13$