1. The user asked to "show examples," which is a general request without a specific math problem. 2. Since no specific math problem is given, I will provide a simple example of solving a linear equation to demonstrate the process. 3. Problem: Solve for $x$ in the equation $2x + 3 = 7$. 4. Formula and rules: To solve a linear equation, isolate the variable $x$ by performing inverse operations. 5. Step 1: Subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 6. Step 2: Divide both sides by 2: $$\frac{2x}{2} = \frac{4}{2}$$ $$x = 2$$ 7. Explanation: We first removed the constant term on the left side by subtracting 3, then divided by the coefficient of $x$ to isolate $x$. 8. Final answer: $x = 2$