1. **State the problem:** Solve the inequality $12 - 6x > 24$. 2. **Isolate the variable term:** Subtract 12 from both sides: $$12 - 6x - 12 > 24 - 12$$ $$\cancel{12} - 6x - \cancel{12} > 12$$ $$-6x > 12$$ 3. **Divide both sides by -6:** When dividing an inequality by a negative number, reverse the inequality sign: $$\frac{-6x}{-6} < \frac{12}{-6}$$ $$x < -2$$ 4. **Final answer:** The solution to the inequality is $$x < -2$$. This means any value of $x$ less than $-2$ satisfies the inequality.