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solve for x

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