Question

|x+ 1/2| =3 2/3 What does x equal?

Answer 1

|x+ 1/2| =3 2/3

1) x+1/2=3 2/3
x=3 2/3 - 1/2
x=3 4/6 -3/6
x=3 1/6 (first root)    

2) -(x+1/2)=3 2/3
  - x- 1/2 = 3 2/3
  - x =3 2/3 + 1/2
-x= 3 4/6 + 3/6
-x = 3 7/6 =3+1+1/6
-x=4 1/6
x= - 4 1/6