1. **Problem Statement:** 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:** - Start with the equation: $2x + 3 = 11$ - Subtract 3 from both sides to isolate the term with $x$: $2x + 3 - 3 = 11 - 3$ - Simplify: $2x = 8$ - Divide both sides by 2 to solve for $x$: $\frac{2x}{2} = \frac{8}{2}$ - Simplify: $x = 4$ 4. **Answer:** The solution to the equation is $x = 4$. This means when $x$ is 4, the original equation holds true.