Possibility 1
|4x+3| =14
4x+3=14
4x+3-3=14-3 (subtract 3 from both sides)
4x=11
4x/4 = 11/4 (divide by 4 on both sides)
x=11/4
Possibility 2
|4x+3| =14
4x+3=-14
4x+3-3= -14-3 (subtract 3 from both sides)
4x=-17
4x/4= -17/4
x= -17/4
best letter choice is B