Question

what is the solution set for |-2x+8|=12

Answer 1

2x+8=12
2x = 4
x=2

Answer 2

also...
=> -2x+8=+or - 12
=>x=(+12-8)/-2 =-2
or
=>x=(-12-8)/-2=10
soluion set={-2,10}

Answer 3

check for the solution sets by substituting them in the above equation

Answer 4

Nice touch!