Question

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

Answer 1

Answer:

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

Step-by-step 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 $(a \times b \pm b \times c)$.
• 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!