Intersection between an AP and GP (solving equation)

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Given the following equation:

$$1000+(N-1)200=500\cdot 1.2^N-1$$

I need to find the value for $N$.

When there was no $N$ in the left-hand-side I will be able to solve the equation with logarithms. Unfortunately, now I do not know how I need to solve this equation.

I want to solve the equation algebraically instead of graphical.

Thank you in advance.