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 $$5x + 8 = x - 9$$. Subtract $$x$$ from both sides: $$5x - \cancel{x} + 8 = \cancel{x} - 9 \implies 4x + 8 = -9$$ Subtract 8 from both sides: $$4x + \cancel{8} - \cancel{8} = -9 - 8 \implies 4x = -17$$ 3. **Interpretation:** The solution to the original equation is the value of $$x$$ that satisfies $$4x = -17$$. 4. **Check the options:** - A) $$4x = -1$$ (No) - B) $$4x = 17$$ (No) - C) $$6x = -17$$ (No) - D) $$6x = 17$$ (No) - E) $$4x = -17$$ (Yes) **Final answer:** Option E) $$4x = -17$$ has the same solution as the original equation.