1. **State the problem:** Solve the equation $4x = 76$ for $x$. 2. **Formula and rule:** To solve for $x$, divide both sides of the equation by the coefficient of $x$, which is 4. 3. **Divide both sides:** $$\cancel{4}x = \frac{76}{\cancel{4}}$$ 4. **Simplify the right side:** $$x = 19$$ 5. **Answer:** The solution to the equation $4x = 76$ is $x = 19$.