Question

Find all solutions for the absolute value equation:
I 2x-3I=x+3
a. {0}
b. {0, -6}
c. {0, 6}
d. {6}

Answer 1

I 2x-3I=x+3

so
2x-3=x+3 or 2x-3=-(x+3)
x=6 2x-3=-x-3
3x = 0
x=0

thus solutions are {0, 6}