x\2-1

x/2 - 1 < x/3 + 2
(3x - 6)/6 < (2x + 12)/6
18x - 36 < 12x + 72
6x < 108
x < 18

(x/2) - 1 < (x/3) + 2
(x/2) - 2/2 < (x/3) + 6/3
(x-2)/2 < (x+6)/3
(x-2) × 3 < (x+6) × 2
3x - 6 < 2x + 12
3x - 2x < 12 + 6
x < 18