# How do you solve 2/-3=(4v+4)/(2v+14)?

Mar 10, 2018

$v = \frac{- 5}{2}$

#### Explanation:

$\frac{2}{- 3} = \frac{4 v + 4}{2 v + 14}$

Cross multiply

$\left(2\right) \left(2 v + 14\right) = \left(4 v + 4\right) \left(- 3\right)$

Distribute

$\left(2\right) \left(2 v\right) + \left(2\right) \left(14\right) = \left(- 3\right) \left(4 v\right) + \left(- 3\right) \left(4\right)$

$4 v + 28 + 12 v = - 12 v - 12 + 12 v$

$16 v + 28 = - 12$

$16 v = - 12 - 28$

$16 v = - 40$

Divide both sides by $16$

$\frac{16 v}{16} = \frac{- 40}{16}$

$v = \frac{- 5}{2}$