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|x-3| = 5
To remove absolute value bars requires two equations:
The first equation comes from just removing the absolte value
bars and then solving the resulting equation.
x - 3 = 5
x = 8
The second equation comes from removing them, changing the
sign of the number 5 on the right to -5, and then solving the
resulting equation.
x - 3 = -5
x = -2
So there are TWO solutions: 8 and -2.
Edwin