1. Stating the problem: Solve the equation $x - 5 = 0$. 2. Formula and rules: To solve for $x$, isolate $x$ by adding or subtracting terms on both sides. 3. Intermediate work: $$x - 5 = 0$$ Add 5 to both sides: $$x - 5 + 5 = 0 + 5$$ $$\cancel{x} - \cancel{5} + 5 = 5$$ $$x = 5$$ 4. Explanation: We added 5 to both sides to cancel out the $-5$ on the left side, leaving $x$ alone. This gives the solution $x = 5$. Final answer: $x = 5$