# How do you solve (5w - 8 )/ 3 = 4w + 2?

Feb 17, 2016

w = - 2

#### Explanation:

To eliminate the fraction multiply both sides by 3

$\frac{\cancel{3} \left(5 w - 8\right)}{\cancel{3}} = 3 \left(4 w + 2\right)$

hence 3(4w + 2 ) = 5w - 8

so 12w + 6 = 5w - 8

subtract 5w from both sides : 12w + 6 - 5w = 5w - 8 - 5w
7w + 6 = - 8

subtract 6 from both sides : 7w + 6 - 6 = - 8 - 6
7w = - 14

finally divide both sides by 7

$\frac{\cancel{7} w}{\cancel{7}} = - \frac{14}{7} \Rightarrow w = - 2$