1. The problem is to provide a sample math problem with a detailed solution. 2. Let's consider a simple algebra problem: Solve for $x$ in the equation $$2x + 3 = 11$$. 3. The formula used here is to isolate $x$ by performing inverse operations. 4. First, subtract 3 from both sides: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$ 5. Next, divide both sides by 2 to solve for $x$: $$\frac{2x}{\cancel{2}} = \frac{8}{\cancel{2}}$$ which simplifies to $$x = 4$$ 6. Therefore, the solution to the equation is $x = 4$. 7. This method applies the basic algebraic rules of equality and inverse operations to isolate the variable and find its value.