1. Stating the problem: Solve for $X$ in the equation $$\frac{X}{8} + 4 = 12$$. 2. Formula and rules: To isolate $X$, we first need to eliminate the constant term on the left side by subtracting 4 from both sides. 3. Subtract 4 from both sides: $$\frac{X}{8} + 4 - 4 = 12 - 4$$ $$\frac{X}{8} = 8$$ 4. To solve for $X$, multiply both sides by 8 to cancel the denominator: $$8 \times \frac{X}{8} = 8 \times 8$$ $$\cancel{8} \times \frac{X}{\cancel{8}} = 64$$ $$X = 64$$ 5. Final answer: $X = 64$. This means that when $X$ is 64, the original equation holds true.