Answer: D. {-5, 2}
==================================================
Work Shown:
|2x+3| = 7 means either 2x+3 = 7 or 2x+3 = -7
Solve each for x
2x+3 = 7
2x = 7-3
2x = 4
x = 4/2
x = 2 is one solution
Repeat for the other equation
2x+3 = -7
2x = -7-3
2x = -10
x = -10/2
x = -5 is the other solution
------
Each solution can be checked by plugging it back into the original equation and simplifying. You should get the same number on both sides
For instance, checking x = -5 leads to
|2x+3| = 7
|2(-5)+3| = 7
|-10+3| = 7
|-7| = 7
7 = 7
Which confirms x = -5. I'll let you check x = 2.
