Question

-7(2 + 2x) = -84 pls try and show work

Answer 1

`\displaystyle \rm \longmapsto \: - 7(2 + 2x) = - 84`

`\displaystyle \rm \longmapsto \: - 14 + 14x = - 84`

`\displaystyle \rm \longmapsto \:14x = - 84 + ( - 14)`

`\displaystyle \rm \longmapsto \:14x =-70`

`\displaystyle \rm \longmapsto \:x = ( - 70)/(14)`

`\displaystyle \rm \longmapsto \:x = 5`

• For checking:

`\displaystyle \rm \longmapsto \: - 7(2 + 2x) = - 84`

• Put x as 5:

`\displaystyle \rm \longmapsto \: - 7(2 + 2(5) = - 84`

`\displaystyle \rm \longmapsto \: - 7(2 + 10) = - 84`

`\displaystyle \rm \longmapsto \: - 14 + ( - 70) = - 84`

`\displaystyle \rm \longmapsto \: - 84 = - 84`

Answer 2

The final answer is
`\bold{x = 5}`.

Explanation:

Hey there! We will solve this using the distributive property.

• The distributive property states that when we are given
  `a(b \pm c)`, we can "distribute" the a through the parentheses and therefore multiply together a & b as well as a & c.
• This would end up giving us an equation such as
  `(a * b \pm b * c)`.
• After we get this, we can simplify it as a one-step, two-step, or multi-step equation.

Now, we can apply these methods and solve for x in the equation!

`\text{-7(2 + 2x) = -84 \ \ This is where we begin distributing.}\\\\\text{To distribute, we will multiply the -7 by 2, and the - 7 by 2x.}\\\\\text{Be sure to keep the original operator in the parentheses!}\\\\\text{-14 - 14x = -84 \ \ Now, simplify the equation as a two-step equation.}\\\\\text{-14x = -70 \ \ Now, we have to divide by -14 on both sides to get x by itself.}\\\\\text{x = 5 \ \ And, now, we have our final answer!}`

And there we go! We found that the final answer is 5. Hope this helps!