Choice Choice D is the correct answer.

1. Start with the equation: $\frac{x}{4} - 2 = 5$
2. Add 2 to both sides: $\frac{x}{4} = 5 + 2$
3. Simplify: $\frac{x}{4} = 7$
4. Multiply both sides by 4: $x = 7 \times 4$
5. Simplify: $x = 28$
6. Verify: $\frac{28}{4} - 2 = 7 - 2 = 5$ ✓

Choice Choice A is incorrect because this results from subtracting 2 from 5: $3$, then multiplying by 4: $12$. Wrong inverse operation.

Choice Choice B is incorrect because this is the value of $\frac{x}{4}$. You must multiply by 4.

Choice Choice C is incorrect because this results from dividing 7 by 4: $1.75$. We need to multiply.