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|2x -3|-3 = 4 is equivalent to
|2x-3| = 4 + 3 = 7 is equivalent to
|x-1.5| = 3.5.
The solutions are those "x" that are remoted in 3.5 units from 1.5, i.e. these two values
x = 1.5 - 3.5 = -2 and x = 1.5 + 3.5 = 5.
Answer. The two solutions are x= -2 and x= 5.
Solved.