7/4(3x-1/2)-4/3<5/3

7/4(3x-1/2)-4/3<5/3    add 4/3 to both sides

(7/4)[3x -(1/2)] < 9/3

(7/4)[(3x - (1/2)] < 3     multiply both sides by 4

7[3x - (1/2)] < 12          divide through by 7

3x - 1/2  < 12/7             mutiply throgh by 14

42x - 7 < 24                   add 7 to both sides

42x < 31                       divide both sides by 42

x < 31/42