1. **State the problem:** Solve the inequality $12 \leq 3x - 3 - 2x$. 2. **Simplify the right side:** Combine like terms on the right side. $$3x - 3 - 2x = (3x - 2x) - 3 = x - 3$$ 3. **Rewrite the inequality:** $$12 \leq x - 3$$ 4. **Isolate $x$:** Add 3 to both sides to isolate $x$. $$12 + 3 \leq x - 3 + 3$$ $$15 \leq x$$ 5. **Final solution:** $$x \geq 15$$ --- Since the user provided two inequalities, but per instructions we solve only the first one completely. **Answer:** $x \geq 15$