# How do you solve -5( - 3x + 6) + 3= - 117?

Jan 4, 2018

$x$ = $- 6$

#### Explanation:

First multiply all the items inside the parentheses by $- 5$ and then the equation will look like:

$\left(- 5 \times - 3 x + \left(- 5\right) \times 6\right) + 3 =$-117#

or, $15 x - 30 + 3$ = $- 117$

Now, move all numbers to right hand side of the equation, and we get:

$15 x$ = $- 117 + 30 - 3$

or, $15 x$ = $- 90$

0r, $x$ = ${\cancel{- 90}}^{6} / {\cancel{15}}^{1}$ = $- 6$

Jan 4, 2018

$x = - 6$

#### Explanation:

First, use the distributive property:

$- 5 \left(- 3 x + 6\right) + 3 = - 117$

$\to \left(- 5 \cdot \left(- 3 x\right)\right) + \left(- 5 \cdot 6\right) + 3 = - 117$

$\to 15 x + \left(- 30\right) + 3 = - 117$

Then, combine like terms:

$15 x - 30 + 3 = - 117$

$\to 15 x - 27 = - 117$

$\to 15 x = - 90$

Now, isolate the $x$ variable:

$15 x = - 90$

$\to x = - \frac{90}{15}$

$\to x = - 6$