# How do you solve -116= - 4+ 7( x - 8)?

Mar 10, 2018

$x = - 8$

#### Explanation:

$- 116 = - 4 + 7 \left(x - 8\right)$

Distribute

$- 116 = - 4 + 7 \left(x\right) + \left(7\right) \left(- 8\right)$

$- 116 = - 4 + 7 x - 56$

$- 116 = 7 x - 60$

Now we need to flip the equation

$7 x - 60 = - 116$

Add $60$ on both sides

$7 x - 60 + 60 = - 116 + 60$

$7 x = - 56$

Divide both sides by $7$

$\frac{7 x}{7} = \frac{- 56}{7}$

$x = - 8$