To solve the equation, we need to combine like terms and isolate the variable.

First, let's combine the like terms on the left side of the equation:

5^x + 5^x + 2 = 3250

2 * 5^x + 2 = 3250

Next, let's subtract 2 from both sides of the equation:

2 * 5^x = 3248

Now, let's divide both sides of the equation by 2:

5^x = 3248 / 2

5^x = 1624

To solve for x, we need to take the logarithm of both sides of the equation. Let's take the logarithm base 5:

log base 5 (5^x) = log base 5 (1624)

x = log base 5 (1624)

Using a calculator, we find that x is approximately 4.014.