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Explanation:
The output of an absolute value is never negative.
The result of |2x+2| can never be negative, so we will have no solutions for the portion |2x+2| < 0
There will be one solution for |2x+2| = 0 as shown in the steps below
|2x+2| = 0
2x+2 = 0
2x = -2
x = -2/2
x = -1
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Check:
|2x+2| ≤ 0
|2(-1)+2| ≤ 0
|-2+2| ≤ 0
|0| ≤ 0
0 ≤ 0
We get a true statement at the end to fully confirm the single solution of x = -1