Prove 5^n+5 < 5^(n+1) for al n elements of N

So i started this by using induction and used n=1 for my base case which i got 10<25 which is true.

Then i assumed that 5^k+5<5(k+1) for all k elements of N for my induction hypothesis and computed the following as my induction step:

5(k+1)+5< 5^(k+1)+1

soo i tried to split the right side to (5^k)x(5^2) then i got stuck

Can anyone please help me ? Im not sure how to make the right side equal 5^(k+1)

Tonio