1. **Stating the problem:** Solve the equation $\frac{x}{4} + 6 = 9 = 12$. This looks like a typo or confusion because there are two equal signs. We will solve the first equation $\frac{x}{4} + 6 = 9$. 2. **Formula and rules:** To solve for $x$, isolate $x$ by undoing addition and division. 3. **Step-by-step solution:** 1. Start with $\frac{x}{4} + 6 = 9$. 2. Subtract 6 from both sides: $$\frac{x}{4} + 6 - 6 = 9 - 6$$ $$\frac{x}{4} = 3$$ 3. Multiply both sides by 4 to cancel the denominator: $$\cancel{4} \times \frac{x}{\cancel{4}} = 3 \times 4$$ $$x = 12$$ **Final answer:** $x = 12$