1. **State the problem:** Solve the equation $9 = 3 + \frac{x}{4}$ for $x$. 2. **Isolate the variable term:** Subtract 3 from both sides to get $$9 - 3 = \frac{x}{4}$$ which simplifies to $$6 = \frac{x}{4}$$ 3. **Solve for $x$:** Multiply both sides by 4 to eliminate the denominator: $$6 \times 4 = x$$ which gives $$x = 24$$ 4. **Check the solution:** Substitute $x = 24$ back into the original equation: $$9 \stackrel{?}{=} 3 + \frac{24}{4} = 3 + 6 = 9$$ The equation holds true, so $x = 24$ is the correct solution.