Choice Bhoice C is the correct answer.

1. Start with the equation: $\frac{x}{3} - 5 = 2$
2. Add 5 to both sides: $\frac{x}{3} = 2 + 5$
3. Simplify: $\frac{x}{3} = 7$
4. Multiply both sides by 3: $x = 7 \times 3$
5. Simplify: $x = 21$
6. Verify: $\frac{21}{3} - 5 = 7 - 5 = 2$ ✓

Choice Bhoice C is incorrect because this results from subtracting 5 from 2: $2 - 5 = -3$, then multiplying? Or maybe adding 5 to 2 to get 7, but then adding 2? No, likely calculating $2+5=7$ but then thinking $x=9$ for some reason.

Choice Bhoice D is incorrect because this is the value of $\frac{x}{3}$. You must multiply by 3 to find $x$.

Choice Bhoice D is incorrect because this results from subtracting 5 from 2: $-3$, then multiplying by 3: $-9$.