Final answer:
To solve the inequality -3x+6>-2, subtract 6 from both sides and then divide both sides by -3, resulting in x<8/3.
Step-by-step explanation:
To solve the inequality -3x+6>-2, we need to isolate x by performing the necessary operations. First, subtract 6 from both sides: -3x>-8. Next, divide both sides by -3, remembering to flip the inequality sign when multiplying or dividing by a negative number: x<8/3.