4 − (x + 2) < −3(x + 4)

Using the distributive property:

4 - x - 2 < -3x - 12    

Simplifying:

2 - x < -3x - 12

Adding 3x to both sides:

2 + 2x < -12

Subtracting 2:

2x < -14

Dividing by 2:

x < -7