# How do you solve this linear equation  4 - 2(x - 7) = -12?

Dec 1, 2015

color(blue)(x =15

#### Explanation:

$4 - 2 \left(x - 7\right) = - 12$

$4 - 2 \cdot x + \left(- 2\right) \cdot \left(- 7\right) = - 12$

$4 - 2 x + 14 = - 12$

$- 2 x + 14 + 4 = - 12$

$- 2 x + 18 = - 12$

$- 2 x = - 12 - 18$

$- 2 x = - 30$

$x = \frac{- 30}{- 2}$

color(blue)(x =15

Aug 6, 2018

$x = 15$

#### Explanation:

We can distribute the $- 2$ on the left side to get

$4 - 2 x + 14 = - 12$

Next, we can simplify the left side constants to get

$- 2 x + 18 = - 12$

Next, subtract $18$ from both sides to get

$- 2 x = - 30$

Lastly, we can divide both sides by $- 2$ to get

$x = 15$

Hope this helps!