Question

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

Answer 1

`x` = `-6`

Explanation:

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

`(-5xx-3x+(-5)xx6)+3 =`-117#

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

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

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

or, `15x` = `-90`

0r, `x` = `cancel(-90)^6/cancel15^1` = `-6`

Answer 2

`x = -6`

Explanation:

First, use the distributive property:

`-5 ( -3x + 6 ) + 3 = -117`

`-> (-5 * (-3x)) + (-5 * 6) + 3 = -117`

`-> 15x + (-30) + 3 = -117`

Then, combine like terms:

`15x - 30 + 3 = -117`

`-> 15x - 27 = -117`

`-> 15x = -90`

Now, isolate the `x` variable:

`15 x = -90`

`-> x = -90/15`

`-> x = -6`