-3-6(4x+6)>-111, get rid of negativeness (to reduce the chance of error):
111>3+6(4x+6), subtract 3 from each side:
108>6(4x+6), divide through by 6:
18>4x+6, divide through by 2:
9>2x+3, subtract 3 from each side:
6>2x, divide through by 2:
3>x, so x<3 is the solution.