# How do you solve 2/5w = 1/2w + 3?

Nov 5, 2015

$w = - 30$

#### Explanation:

Get all the $w$'s to one side of the equation by subtracting $\frac{1}{2} w$ from both sides.
$\frac{2}{5} w = \frac{1}{2} w + 3$

$\frac{2}{5} w - \frac{1}{2} w = \frac{1}{2} w + 3 - \frac{1}{2} w$

$\frac{2}{5} w - \frac{1}{2} w = 3$

Simplify the left side by getting common denominators

$\frac{4}{10} w - \frac{5}{10} w = 3$

$- \frac{1}{10} w = 3$

Now, divide by (or multiply by the reciprocal of $- \frac{1}{10}$

$- \frac{1}{10} w \cdot - 10 = 3 \cdot - 10$

$w = - 30$