# How do you solve for x in 2(x+5)= -2?

Mar 6, 2018

#### Answer:

$x = - 6$

#### Explanation:

$2 \left(x + 5\right) = - 2$

divide by $2$ on both sides

$x + 5 = - \frac{2}{2}$

simplify

$x + 5 = - 1$

subtract $5$ on both sides

$x \cancel{+ 5} \cancel{- 5} = - 1 - 5$

$x = - 6$

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To check our work, let's plug in $- 6$ for $x$ and see if it still equals $- 2$:

$2 \left(- 6 + 5\right) = - 2$

$2 \left(- 1\right) = - 2$

$2 \times - 1 = - 2$

$- 2 = - 2$ We were right!