1. Let's consider a simple algebra problem: Solve for $x$ in the equation $2x + 3 = 7$. 2. The formula used here is to isolate $x$ by performing inverse operations. We want to get $x$ alone on one side of the equation. 3. First, subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ which simplifies to $$2x = 4$$ 4. Next, divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ which simplifies to $$x = 2$$ 5. So, the solution to the equation $2x + 3 = 7$ is $x = 2$. This example shows how to solve a linear equation by performing inverse operations step-by-step.