1. Let's solve a simple algebraic equation: Solve for $x$ in the equation $$2x + 3 = 11$$. 2. The formula to isolate $x$ is to get $x$ alone on one side of the equation by performing inverse operations. 3. First, subtract 3 from both sides: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$ 4. Next, divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{8}{2}$$ which simplifies to $$x = 4$$ 5. So, the solution to the equation is $x = 4$. This means when $x$ is 4, the original equation holds true.