solve for x
3/4(7x - 1 )-[2x- 1-x/2] = x + 3/2

  3/4(7x - 1) - [2x - (1 - x)/2] = (x + 3)/2
(21x - 3)/4 - [4x/2 - (1 - x)/2] = (x + 3)/2
(21x - 3)/4 - (5x - 1)/2 = (x + 3)/2
(21x - 3)/4 - (10x - 2)/4 = (2x + 6)/4
21x - 3 - 10x + 2 = 2x + 6
11x - 1 = 2x + 6
9x = 7
x = 7/9