Question: give an example of algebra
1. **Problem:** Solve the linear equation $$2x + 3 = 11$$ for $$x$$.
2. **Formula and Rules:** To solve for $$x$$, we use the rule of isolating the variable 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 $$x$$:
$$\frac{2x}{\cancel{2}} = \frac{8}{\cancel{2}}$$
which simplifies to
$$x = 4$$
5. **Answer:** The solution to the equation $$2x + 3 = 11$$ is $$x = 4$$.
This example demonstrates basic algebraic manipulation to solve for an unknown variable.