# How do you solve 5( u + 6) = - 3( 3u - 6) + 4u?

Mar 9, 2018

Distribute and then move $u$ over to one side to get

$u = - 1.2$

#### Explanation:

$5 \left(u + 6\right) = - 3 \left(3 u - 6\right) + 4 u$

$5 u + 30 = - 9 u + 18 + 4 u$

$5 u + 30 = - 5 u + 18$

$10 u + 30 = 18$

$10 u = - 12$

$u = - 1.2$

Mar 10, 2018

$u = \frac{- 6}{5}$

#### Explanation:

$5 \left(u + 6\right) = - 3 \left(3 u - 6\right) + 4 u$

Distribute

$\left(5\right) \left(u\right) + \left(5\right) \left(6\right) = \left(- 3\right) \left(3 u\right) + \left(- 3\right) \left(- 6\right) + 4 u$

$5 u + 30 = \textcolor{g r e e n}{- 9 u} + 18 \textcolor{g r e e n}{+ 4 u}$

$5 u + 30 = - 5 u + 18$

Subtract $\textcolor{red}{30}$ from both sides

$5 u \cancel{+ 30} \cancel{\textcolor{red}{- 30}} = - 5 u + 18 - 30$

$5 u = - 5 u - 12$

Add $5 u$ on both sides

$5 u + 5 u = - 5 u + 5 u - 12$

$10 u = - 12$

$u = \frac{- 12}{10}$

$u = \frac{- 6}{5}$