1. **Stating the problem:** Solve the equation $$3(x + 2) - 4 = 11$$ for $x$. 2. **Formula and rules:** To solve linear equations, we use the distributive property and inverse operations to isolate $x$. 3. **Step 1: Apply distributive property** $$3(x + 2) - 4 = 11 \implies 3x + 6 - 4 = 11$$ 4. **Step 2: Simplify constants** $$3x + \cancel{6 - 4}^2 = 11$$ 5. **Step 3: Isolate the term with $x$ by subtracting 2 from both sides** $$3x + 2 - 2 = 11 - 2 \implies 3x = 9$$ 6. **Step 4: Solve for $x$ by dividing both sides by 3** $$\frac{\cancel{3}x}{\cancel{3}} = \frac{9}{3} \implies x = 3$$ 7. **Final answer:** $$x = 3$$