# How do you solve 2(3u + 7) = -4(3 - 2u) ?

May 18, 2018

$u = 13$

#### Explanation:

Solve:

$2 \left(3 u + 7\right) = - 4 \left(3 - 2 u\right)$

Apply the distributive property: $a \left(b + c\right) = a b + a c$

$2 \cdot 3 u + 2 \cdot 7 = - 4 \cdot 3 - 4 \cdot \left(- 2 u\right)$

$6 u + 14 = - 12 + 8 u$

Subtract $8 u$ from both sides.

$- 8 u + 6 u + 14 = - 12$

Simplify $- 8 u + 6 u$ to $- 2 u$.

$- 2 u + 14 = - 12$

Subtract $14$ from both sides.

$- 2 u = - 12 - 14$

Simplify $12 - 14$ to $- 26$.

$- 2 u = - 26$

Divide both sides by $- 2$.

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

Simplify $\frac{- 26}{- 2}$ to $13$.

$u = 13$