Quadrilateral abcd is a parallelogram with ab = 3y – 6, bc = 5x – 8, cd = 2y + 4, and ad = 4x –1. find x. a. 7 b. 14 c. 27 d. 28

In parallelogram ABCD, opposite sides are congruent, it means 
AB = CD
BC = AD
So, 3y – 6 = 2y + 4 1
and 5x – 8 = 4x –12
now we can find the value of x and y from expression 1 and 2, 
3y – 6 = 2y + 4
3y-2y = 4+6
y = 10
5x – 8 = 4x –1
5x-4x = -1+8
x = 7
Thus, the value of x is 7, option A is the correct.