1. **State the problem:** Solve the equation $40x - 8 = 200$. 2. **Write down the equation:** $$40x - 8 = 200$$ 3. **Add 8 to both sides to isolate the term with $x$:** $$40x - 8 + 8 = 200 + 8$$ $$40x = 208$$ 4. **Divide both sides by 40 to solve for $x$:** $$\frac{40x}{\cancel{40}} = \frac{208}{\cancel{40}}$$ $$x = \frac{208}{40}$$ 5. **Simplify the fraction:** $$x = \frac{208 \div 8}{40 \div 8} = \frac{26}{5}$$ 6. **Convert to decimal (optional):** $$x = 5.2$$ **Final answer:** $$x = \frac{26}{5}$$ or $$x = 5.2$$