1. Let's start by stating a common algebra problem: Solve for $x$ in the equation $$2x + 3 = 11$$. 2. The formula or rule we use 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 to undo the addition: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$. 4. Next, divide both sides by 2 to undo the multiplication: $$\frac{2x}{2} = \frac{8}{2}$$ which simplifies to $$x = 4$$. 5. So, the solution to the equation is $x = 4$. This means if you substitute 4 back into the original equation, it satisfies the equality: $$2(4) + 3 = 8 + 3 = 11$$. This step-by-step approach helps you solve linear equations by undoing operations in reverse order of operations.