1. **State the problem:** Simplify the expression $\frac{x-2}{4} - 2 - \frac{x-6}{2}$.\n\n2. **Identify the formula and rules:** To simplify, combine like terms and fractions by finding a common denominator. Remember, subtracting a fraction means subtracting the numerator over the denominator.\n\n3. **Rewrite the expression:** $$\frac{x-2}{4} - 2 - \frac{x-6}{2}$$ \n4. **Express all terms with a common denominator (4):** $$\frac{x-2}{4} - \frac{8}{4} - \frac{2(x-6)}{4}$$ Note: $2 = \frac{8}{4}$ and $\frac{x-6}{2} = \frac{2(x-6)}{4}$.\n\n5. **Expand and simplify the numerator:** $$\frac{x-2 - 8 - 2x + 12}{4} = \frac{x - 2 - 8 - 2x + 12}{4}$$ \n6. **Combine like terms in the numerator:** $$\frac{(x - 2x) + (-2 - 8 + 12)}{4} = \frac{-x + 2}{4}$$ \n7. **Final simplified expression:** $$\frac{2 - x}{4}$$ \nThis is the simplified form of the original expression.