2(1 + 3x) > 8x + 16
Divide both sides by 2
1 + 3x > 4x + 8
Subtract 4x from both sides
1 - x > 8
Subtract 1 from both sides
-x > 7
Divide both sides by -1. The inequality sign switches direction since you are dividing both sides by a negative number.
x < - 7