This looks like a simple exponent, but how to solve it?

Question

Can anyone help with finding the $x$?

$$\frac{998^{999}+998^{998}}{998^{999x}}=999$$

Answer 1

$$ \frac{998^{999} + 998^{998}}{998^{999x}} = 999 \\ \Rightarrow \frac{998^{998}(998 + 1)}{998^{999x}} = \frac{998^{998} \cdot 999}{998^{999x}}= 999 \\ \Rightarrow 998^{998} \cdot 999 = 999 \cdot 998^{999x} \\ \Rightarrow 998^{998} = 998^{999x} \\ \Rightarrow 998 = 999x \\ \Rightarrow x = \frac{998}{999} $$