1. **Problem Statement:** Solve the algebraic equation $2x + 3 = 11$ for $x$. 2. **Formula and Rules:** To solve for $x$, we need to isolate $x$ on one side of the equation. We do this by performing inverse operations. 3. **Step 1:** Subtract 3 from both sides to remove the constant term on the left. $$2x + 3 - 3 = 11 - 3$$ $$2x = 8$$ 4. **Step 2:** Divide both sides by 2 to solve for $x$. $$\frac{\cancel{2}x}{\cancel{2}} = \frac{8}{2}$$ $$x = 4$$ 5. **Answer:** The solution to the equation is $x = 4$. This means when $x$ is 4, the original equation $2x + 3 = 11$ holds true.