1. **Problem:** Which equation has the same solution as $5x + 8 = x - 9$? 2. **Use the equation-solving steps:** We want to isolate $x$ by getting all $x$-terms on one side and all numbers on the other. $$5x + 8 = x - 9$$ 3. **Subtract $x$ from both sides:** $$5x - x + 8 = -9$$ $$4x + 8 = -9$$ 4. **Subtract $8$ from both sides:** $$4x = -17$$ 5. **Match with the choices:** The correct equation is **E) $4x = -17$**. 6. **Final answer:** **E) $4x = -17$**