Answer:
x = -10 or +7
Step-by-step explanation:
Add 6 and the equation becomes ...
|2x+3| = 17
This is equivalent to two equations:
2x +3 = 17
and
2x +3 = -17
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Solving the first of these, we get
2x = 14 . . . . subtract 3
x = 7 . . . . . . divide by 2
Solving the second of the equations, we get
2x = -20 . . . . subtract 3
x = -10 . . . . . . divide by 2
The solutions are x = -10 or x = 7.