Question

Solve for x: |x − 2| + 10 = 12

Answer 1

1. If x-2≥0,  x≥2
    x-2+10=12
    x+8=12
    x=12-8
    x=4
2.If x-2≤0, x≤2
   -(x-2)+10=12
   -x+2+10= 12
    x = 0
Answer: A)  x=0 and x=4

Answer 2

+ or - (x - 2) + 10 = 12
+ or - (x - 2) = 12 - 10 = 2
x - 2 = 2 or -(x - 2) = 2
x - 2 = 2 or -x + 2 = 2
x = 2 + 2 or x = 2 - 2
x = 4 or x = 0
i.e. first option.