1. **State the problem:** We need to find the value of $x$ that satisfies the equation $$3x + 4 = 9x - 8.$$ 2. **Write down the formula and rules:** To solve for $x$, we want to isolate $x$ on one side of the equation. We can do this by moving all terms involving $x$ to one side and constants to the other side. 3. **Step 1: Subtract $3x$ from both sides:** $$3x + 4 - \cancel{3x} = 9x - 8 - \cancel{3x}$$ which simplifies to $$4 = 6x - 8.$$ 4. **Step 2: Add 8 to both sides:** $$4 + 8 = 6x - 8 + 8$$ which simplifies to $$12 = 6x.$$ 5. **Step 3: Divide both sides by 6:** $$\frac{12}{\cancel{6}} = \frac{6x}{\cancel{6}}$$ which simplifies to $$2 = x.$$ 6. **Conclusion:** The value of $x$ that makes the equation true is $x = 2$. 7. **Check the answer:** Substitute $x=2$ back into the original equation: $$3(2) + 4 = 6 + 4 = 10$$ $$9(2) - 8 = 18 - 8 = 10$$ Both sides equal 10, so $x=2$ is correct. **Final answer:** C. 2