Step 1. Simplify brackets
-3x + 7 -4(2x - 6) -12 > 7
Step 2. Cancel 7 on both sides
-3x -4(2x - 6) -12 > 0
Step 3. Expand
-3x - 8x + 24 - 12 > 0
Step 4. Simplify -3x - 8x + 24 - 12 to -11x + 12
-11x + 12 > 0
Step 5. Subtract 12 from both sides
-11x > -12
Step 6. Divide both sides by -11
x < -12/-11
Step 7. Two negatives make a positive
x < 12/11