1. **State the problem:** Solve the equation $1.5x + 8 = x + 8$ for $x$. 2. **Write down the equation:** $$1.5x + 8 = x + 8$$ 3. **Subtract 8 from both sides to simplify:** $$1.5x + \cancel{8} - \cancel{8} = x + \cancel{8} - \cancel{8}$$ $$1.5x = x$$ 4. **Subtract $x$ from both sides to isolate terms with $x$ on one side:** $$1.5x - x = x - x$$ $$0.5x = 0$$ 5. **Divide both sides by 0.5 to solve for $x$:** $$\frac{0.5x}{\cancel{0.5}} = \frac{0}{\cancel{0.5}}$$ $$x = 0$$ **Final answer:** $x = 0$