1. Let's start with a simple algebra problem: Solve for $x$ in the equation $2x + 5 = 15$. 2. The formula to solve for $x$ is to isolate $x$ on one side of the equation. We do this by performing inverse operations. 3. First, subtract 5 from both sides: $$2x + 5 - 5 = 15 - 5$$ $$2x = 10$$ 4. Next, divide both sides by 2 to solve for $x$: $$\frac{2x}{\cancel{2}} = \frac{10}{\cancel{2}}$$ $$x = 5$$ 5. So, the solution is $x = 5$. This problem helps practice basic algebraic manipulation and understanding of inverse operations.