# How do you solve -2(x-4)=2?

Mar 25, 2018

See a solution process below..

#### Explanation:

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

First remove the brackets by multiplying it with the values outside the bracket;

$- 2 x + 8 = 2$

Recall; $- \times - = +$

That is why $- 2 \times - 4 = 8$

Hence;

$- 2 x + 8 = 2$

Subtract $8$ from both sides..

$- 2 x + 8 - 8 = 2 - 8$

$- 2 x = - 6$

Divide both sides by $- 2$

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

$\frac{\cancel{- 2} x}{\cancel{- 2}} = \frac{- 6}{- 2}$

$x = \frac{- 6}{- 2}$

$x = 3$