How many integers $(n)$ are there where $n + 30$ is a multiple of $2n$?

Question

I tried to write an equation for the problem but really got stuck with something like $n + 30 = 2n × x$

Answer 1

Let $$n+30=k\cdot 2n$$ so $$n=\frac{30}{2k-1}$$ where $k$ is a integer. Can you finish?

Answer 2

The relation can be written as $$n+30=2kn\iff 30=(2k-1)n\quad\text{for some }k,$$ in other words, $n$ is an even divisor of $30$. Can you find them?