1. **State the problem:** Solve the equation $6x + 2x = 8$ for $x$. 2. **Combine like terms:** $6x + 2x = (6 + 2)x = 8x$ 3. **Rewrite the equation:** $8x = 8$ 4. **Solve for $x$ by dividing both sides by 8:** $$\frac{\cancel{8}x}{\cancel{8}} = \frac{8}{8}$$ 5. **Simplify:** $$x = 1$$ **Final answer:** $x = 1$