1. **Stating the problem:** Solve the equation $2x + 3 = 11$ for $x$. 2. **Formula and rules:** To solve a linear equation, isolate the variable on one side by performing inverse operations. 3. **Step-by-step solution:** - Subtract 3 from both sides: $2x + 3 - 3 = 11 - 3$ - Simplify: $2x = 8$ - Divide both sides by 2: $\frac{2x}{2} = \frac{8}{2}$ - Simplify: $x = 4$ 4. **Explanation:** We first remove the constant term on the left by subtracting 3 from both sides. Then, to isolate $x$, we divide both sides by the coefficient 2. This gives the solution $x = 4$. **Final answer:** $x = 4$