Answer:
Step-by-step explanation:
First, |x| = x when x >= 0 and |-x| = x when x < 0.
So,there are two ways to solve this equation -2|x + 5| = 8.
In the 1st case, let's assume (x + 5) >= 0
=> |x + 5| = x + 5
=> -2(x + 5) = 8
=> x + 5 = 8 / -2 = -4
=> x = -4 - 5 = -9
In the 2nd case, let's assume (x + 5) < 0
=> |x + 5| = -(x + 5) = -x - 5
=> -2 (-x -5) = 8
=> (-x -5) = -4
=> -x = 1
=> x = -1
These are the 2 solutions by solving the math in two different ways.
I hope this helps.
Let me if you have any more questions.
