$3 r+2(r-5)=25$

Step 1 ：Distribute the 2: \(3r + 2(r-5) = 3r + 2r - 10\)

Step 2 ：Combine like terms: \(5r - 10 = 25\)

Step 3 ：Add 10 to both sides: \(5r = 35\)

Step 4 ：Divide by 5: \(r = 7\)

Step 5 ：Final Answer: \(\boxed{r = 7}\)