Answer:
[tex]x = 3[/tex] [tex]and[/tex] [tex]x = -3[/tex]
Step-by-step explanation:
In this problem, we are substituting for x.
Let us take a look at our given answers.
x = -13 and x = -3 would not work because the numbers would not add up to -5. Since we have the positive brackets (or whatever you call them.) surrounding the x variable, that means that all numbers that are plugged into x will be positive.
-13 will be turned into 13,
13 - 8 [tex]\neq[/tex] -5
So that is wrong.
x = 3 and x = 3 would work because plugging it in, all outcomes from the two numbers would be negative.
3 - 8 = -5
[tex]|-3|[/tex] - 8 = -5
True.
The third one won't work because of the same reasons as the first one.
Then, the last one would not work well because, there is a solution.