2(4x-6)+4<4x+4

2(4x-6)+4<4x+4     simplify the left side

8x - 12 + 4 < 4x + 4

8x - 8 < 4x + 4      add 8 to both sides    subtract 4x from both sides

4x < 12      divide both sides by 4

x < 3