1. **State the problem:** We are given the function $f(x) = 2x - 4$ and need to find the values of $x$ for which $f(x) \leq 3x$. 2. **Write the inequality:** $$2x - 4 \leq 3x$$ 3. **Isolate $x$ terms on one side:** Subtract $2x$ from both sides: $$\cancel{2x} - 4 \leq 3x - \cancel{2x}$$ which simplifies to $$-4 \leq x$$ 4. **Interpret the inequality:** This means $x$ must be greater than or equal to $-4$. 5. **Final answer:** $$x \geq -4$$ This is the set of all $x$ values for which $f(x) \leq 3x$.