1. **State the problem:** Solve the inequality $$18 > 12 - \frac{6}{7}x$$ for $$x$$. 2. **Isolate the term with $$x$$:** Subtract 12 from both sides: $$18 - 12 > 12 - 12 - \frac{6}{7}x$$ $$6 > - \frac{6}{7}x$$ 3. **Divide both sides by $$-\frac{6}{7}$$ to solve for $$x$$:** Remember, dividing by a negative number reverses the inequality sign. $$\frac{6}{-\frac{6}{7}} < x$$ 4. **Simplify the division:** $$6 \times \frac{7}{-6} < x$$ $$\cancel{6} \times \frac{7}{-\cancel{6}} < x$$ $$-7 < x$$ 5. **Rewrite the solution:** $$x > -7$$ **Answer:** $$x > -7$$