To solve the equation 5^(x+1) - 2*5^(x-1) = 23, we can simplify the terms using the properties of exponents:

5^(x+1) = 5 5^x
25^(x-1) = 2 (1/5) 5^x = (2/5) * 5^x

Now, we can rewrite the equation as:

5 5^x - (2/5) 5^x = 23

Combining like terms, we get:

(5 - 2/5) 5^x = 23
(23/5) 5^x = 23

Dividing both sides by (23/5), we get:

5^x = 5
x = 1

Therefore, the solution to the equation 5^(x+1) - 2*5^(x-1) = 23 is x = 1.