$\frac{x}{-3}-2<-4$

Step 1 ：Given the inequality \(\frac{x}{-3}-2<-4\)

Step 2 ：Add 2 to both sides of the inequality to get \(\frac{x}{-3}<-2\)

Step 3 ：Multiply both sides by -3 to get x>6. Remember to flip the inequality sign because we are multiplying by a negative number

Step 4 ：\(\boxed{x>6}\) is the final answer