# How do you solve 5(-3x - 2) - x + 3 = -4(4x + 5) + 13?

Mar 7, 2017

See the entire solution process below:

#### Explanation:

First, expand all of the terms within parenthesis. Be careful to handle the signs of each individual term correctly:

$\left(5 \times - 3 x\right) + \left(5 \times - 2\right) - x + 3 = \left(- 4 \times 4 x\right) + \left(- 4 \times 5\right) + 13$

$- 15 x - 10 - x + 3 = - 16 x - 20 + 13$

Next, group and combine like terms:

$- 15 x - x - 7 = - 16 x - 7$

$- 16 x - 7 = - 16 x - 7$

Because both sides of the equation are equal the answer is"

$x$ can be any number or $x$ is the set of all numbers.