1. Let's solve the equation step-by-step as if we were solving a real equation with equal signs and showing all work. 2. Suppose the problem is to solve for $x$ in the equation $2x + 3 = 11$. 3. First, state the problem: Solve $2x + 3 = 11$ for $x$. 4. Use the subtraction property of equality to isolate the term with $x$: $$2x + 3 = 11$$ Subtract 3 from both sides: $$2x + \cancel{3} - \cancel{3} = 11 - 3$$ $$2x = 8$$ 5. Next, divide both sides by 2 to solve for $x$: $$\frac{2x}{\cancel{2}} = \frac{8}{\cancel{2}}$$ $$x = 4$$ 6. The solution is $x = 4$. 7. This means when $x$ is 4, the original equation holds true. 8. Always remember to perform the same operation on both sides of the equation to maintain equality. 9. This method applies to linear equations and helps isolate the variable step-by-step.