1. **State the problem:** Solve the equation $$\frac{x + 12}{2} + \frac{x - 2}{2} = 0$$. 2. **Combine the fractions:** Since both terms have the same denominator 2, we can add the numerators directly: $$\frac{(x + 12) + (x - 2)}{2} = 0$$ 3. **Simplify the numerator:** $$\frac{x + 12 + x - 2}{2} = \frac{2x + 10}{2} = 0$$ 4. **Multiply both sides by 2 to eliminate the denominator:** $$\cancel{2} \times \frac{2x + 10}{\cancel{2}} = 0 \times 2$$ $$2x + 10 = 0$$ 5. **Solve for $x$:** Subtract 10 from both sides: $$2x + 10 - 10 = 0 - 10$$ $$2x = -10$$ Divide both sides by 2: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{-10}{2}$$ $$x = -5$$ **Final answer:** $$x = -5$$