Choice Bhoice D is the correct answer. To solve this subtraction equation, we add the same number to both sides.

1. Start with the equation: $x - 14 = 28$
2. Add 14 to both sides: $x = 28 + 14$
3. Calculate: $x = 42$
4. Verify: $42 - 14 = 28$ ✓

This demonstrates that addition is the inverse operation of subtraction.

Choice Bhoice C is incorrect because this confuses the constant term (14) with the solution. The number being subtracted is not the answer we're looking for.

Choice Bhoice A is incorrect because this is the negative of the constant. If you incorrectly think the answer involves changing the sign of 14, you might choose this.

Choice Bhoice D is incorrect because this results from dividing: $\frac{28}{14} = 2$. Division is not relevant when solving this subtraction equation.