Choice A is the correct answer. Clear fractions first, then solve the resulting inequality.

1. Multiply by 3: $3 \cdot \frac{5x-10}{3} > 3 \cdot 5$, giving $5x - 10 > 15$
2. Add 10: $5x > 25$
3. Divide by 5: $x > 5$

?�� Strategic Tip: Multiplying both sides by the denominator (when positive) eliminates fractions without changing inequality direction.

Choice B is incorrect because it reverses the inequality without justification. Choice C is incorrect because it might come from adding 10 and 15 to get 25, then dividing by something other than 5. Choice D is incorrect because it combines wrong value (7) with wrong direction.