The same UberX trip would be $13 before taking mileage into account. If it took you 36 minutes, I assume you went at least 3 miles. So that makes the trip cost at least 17 bucks.
I've found that Car2Go is quite a bit cheaper than using either Lyft or UberX. I usually use them together though. I'll take a Car2Go to the bar, then take a rideshare home after drinking too much to drive.