1. **State the problem:** We are given the function $f(x) = 2x - 4$ and need to find the values of $x$ for which $f(x) \geq x$. 2. **Write the inequality:** $$2x - 4 \geq x$$ 3. **Isolate $x$ on one side:** Subtract $x$ from both sides: $$2x - 4 - x \geq x - x$$ $$\cancel{2x} - 4 - \cancel{x} \geq 0$$ which simplifies to $$x - 4 \geq 0$$ 4. **Solve for $x$:** Add 4 to both sides: $$x - 4 + 4 \geq 0 + 4$$ $$x \geq 4$$ 5. **Interpretation:** The function $f(x)$ is greater than or equal to $x$ when $x$ is greater than or equal to 4. **Final answer:** $$x \geq 4$$