1. **State the problem:** Solve the inequality $4 - 2x \leq 14$ for $x$. 2. **Write the inequality:** $$4 - 2x \leq 14$$ 3. **Isolate the term with $x$:** Subtract 4 from both sides: $$4 - 2x - 4 \leq 14 - 4$$ $$-2x \leq 10$$ 4. **Divide both sides by $-2$:** When dividing by a negative number, reverse the inequality sign: $$\frac{-2x}{\cancel{-2}} \geq \frac{10}{\cancel{-2}}$$ $$x \geq -5$$ 5. **Final answer:** $$x \geq -5$$ This means $x$ can be any number greater than or equal to $-5$.