# What is the value of w in the equation 1/2w+7=2w-2?

Nov 4, 2016

$w = 6$

#### Explanation:

$\frac{1}{2} w + 7 = 2 w - 2$
First, subtract $2 w$ from each side.
$- \frac{3}{2} w + 7 = - 2$
Next, subtract 7 from each side.
$- \frac{3}{2} w = - 9$
Finally, multiply each side by the reciprocal of the coefficient of $w$, which is $- \frac{3}{2}$. (Multiply each side by $- \frac{2}{3}$)
$w = 6$