1. **State the problem:** We need to find which equation among the options has the same solution as the equation $$5x + 8 = x - 9$$. 2. **Solve the original equation:** Start with $$5x + 8 = x - 9$$. 3. **Isolate variable terms on one side:** Subtract $$x$$ from both sides: $$5x + 8 - x = x - 9 - x$$ $$\Rightarrow 4x + 8 = -9$$ 4. **Isolate the constant term:** Subtract 8 from both sides: $$4x + 8 - 8 = -9 - 8$$ $$\Rightarrow 4x = -17$$ 5. **Interpretation:** The simplified form of the original equation is $$4x = -17$$. 6. **Compare with options:** The option that matches $$4x = -17$$ is option E. **Final answer:** Option E) $$4x = -17$$