Solve: 25^(x+2)=5^(3x-3)

Question

I need all of the steps.
Thanks

Answer 1

25^(x+2)=5^(3x-3)
(5^2)^(x+2) = 5^(3x-3)
5^(2x+2) = 5^(3x-3)
so
2x+2 = 3x-3
-x = -5
x = 5