1. **State 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 1:** Subtract 3 from both sides to isolate the term with $x$: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$ 4. **Step 2:** Divide both sides by 2 to solve for $x$: $$\frac{2x}{2} = \frac{8}{2}$$ which simplifies to $$x = 4$$ 5. **Final answer:** The solution to the equation is $$x = 4$$.