Question

Question 4 of 5Which value of x makes this equation true?-8(x+5) = -3x-7+x-3O A. = 72OB. 1 = -5OC. = 14OD. I = 12SUBMIT

Answer 1

Explanation

We must find the value of x that makes the following equation true:

$-8(x+5)=-3x-7+x-3$

Basically we must solve the equation for x. We can start by distributing the product in the left side and adding like terms in the right side:

$\begin{gathered} -8(x+5)=-3x-7+x-3 \\ -8x+(-8)\cdot5=-3x+x-7-3 \\ -8x-40=-2x-10 \end{gathered}$

Then we add 8x+10 to both sides of this equation:

$\begin{gathered} -8x-40+8x+10=-2x-10+8x+10 \\ -30=6x \end{gathered}$

And we divide both sides by 6:

$\begin{gathered} -\frac{30}{6}=\frac{6x}{6} \\ x=-5 \end{gathered}$Answer

Then the answer is option B, x=-5.