1. **State the problem:** Solve the linear equation $5x - 80 = 0$ for $x$. 2. **Formula and rules:** To solve for $x$, isolate $x$ by performing inverse operations. The goal is to get $x$ alone on one side of the equation. 3. **Step 1:** Add 80 to both sides to cancel the $-80$ term: $$5x - 80 + 80 = 0 + 80$$ which simplifies to $$5x = 80$$ 4. **Step 2:** Divide both sides by 5 to isolate $x$: $$\frac{5x}{5} = \frac{80}{5}$$ Use cancellation notation: $$\frac{\cancel{5}x}{\cancel{5}} = \frac{80}{5}$$ which simplifies to $$x = 16$$ 5. **Final answer:** $x = 16$. This means the value of $x$ that satisfies the equation $5x - 80 = 0$ is 16.