# How do you solve -7( x + 3) = - 63?

May 8, 2018

$\implies x = 6$

#### Explanation:

$- 7 \left(x + 3\right) = - 63$

We distribute the LHS

$- 7 x - 21 = - 63$

We add $21$ to both sides

$- 7 x = - 42$

We divide both sides by $- 7$

$\implies x = 6$

May 8, 2018

The answer to the problem is $\textcolor{red}{x = 6}$.

#### Explanation:

Start by distributing $- 7$ to $\left(x + 3\right)$.

$- 7 x - 21 = - 63$

Add $21$ to both sides.

$- 7 x = - 42$

And finally, divide both sides by $- 7$.

$\frac{- 7 x}{-} 7 = \frac{- 42}{-} 7$

$x = 6$

Plug it back in to check your answer:

$- 7 \left(x + 3\right) = - 63$
$- 7 \left(6 + 3\right) = - 63$
$- 7 \left(9\right) = - 63$
$- 63 = - 63$

Which proves that the answer is $x = 6$.