AMC 10B 2002 Problem 13

Find the value(s) of x such that 8 x y-12 y+2 x-3=0 is true for all values of y.

Answer Choices
A. \dfrac{2}{3}
B. \dfrac{3}{2} or -\dfrac{1}{4}
C. -\dfrac{2}{3} or -\dfrac{1}{4}
D. \dfrac{3}{2}
E. -\dfrac{3}{2} or -\dfrac{1}{4}