Choice Ahoice D is the correct answer.

1. Start with the equation: $\frac{x}{2} - 7 = 3$
2. Add 7 to both sides: $\frac{x}{2} = 3 + 7$
3. Simplify: $\frac{x}{2} = 10$
4. Multiply both sides by 2: $x = 10 \times 2$
5. Simplify: $x = 20$
6. Verify: $\frac{20}{2} - 7 = 10 - 7 = 3$ ✓

Choice Ahoice C is incorrect because this results from subtracting 7 from 3: $-4$, then multiplying by 2: $-8$. Wrong inverse operation.

Choice Ahoice B is incorrect because this is the value of $\frac{x}{2}$. You must multiply by 2.

Choice Ahoice C is incorrect because this results from dividing 10 by 2: $5$. We need to multiply.