1. **State the problem:** Solve the inequality $$x - 15 \leq -6$$ for $$x$$. 2. **Formula and rules:** To solve inequalities, we isolate $$x$$ by performing inverse operations. When adding or subtracting the same number on both sides, the inequality direction remains the same. 3. **Isolate $$x$$:** Add 15 to both sides: $$x - 15 + 15 \leq -6 + 15$$ 4. **Simplify:** $$x \leq 9$$ 5. **Final answer:** The solution to the inequality is $$x \leq 9$$, meaning $$x$$ can be any number less than or equal to 9.