1. **Problem:** Solve the equation $2x+3=11$. 2. **Goal:** Isolate $x$ by undoing operations in reverse order. 3. **Step 1 — subtract 3 from both sides:** $2x+3-3=11-3$. 4. **Simplify:** This gives $2x=8$. 5. **Step 2 — divide both sides by 2:** $\frac{2x}{2}=\frac{8}{2}$. 6. **Simplify:** This gives $x=4$. 7. **Check:** Substitute $x=4$ into the original equation to verify. 8. **Verification calculation:** $2\cdot 4+3=8+3=11$. 9. **Conclusion:** Because the left-hand side equals the right-hand side, $x=4$ is correct. 10. **General checklist to find and check answers:** 11. a. Read the problem carefully and identify what is being asked. 12. b. Write down knowns and unknowns. 13. c. Apply algebraic steps, undo operations in reverse order. 14. d. Show each simplification step and combine like terms. 15. e. Always substitute your solution back into the original equation to verify. 16. If you have a specific problem that you do not understand, paste it and I will solve it step by step for you.