Question

What is the solution set for |-4x - 8| = 4?

Answer 1

First, simplify by dividing each term by 4.
Then use the fact that if |a| = b, then a = +b or a = -b to solve for x.

Answer 2

i understand the first part of what you said but the second part confuses me a bit @mosaic

Answer 3

|-4x - 8| = 4
Divide throughout by 4
|-x - 2| = 1
|-x - 2| = 1 implies either -x-2 = +1 OR -x-2 = -1
Solve the two equations separately:
-x-2 = 1
-x = 1+2 = 3
x = -3
OR
-x-2 = -1
-x = -1+2 = 1
x = -1

x = -3 or -1.

Answer 4

ohhhhhhhh ok thank you so much

Answer 5

You are welcome.