"Out of" vs "outside" of city

I would like to know what would be the correct sentence here. I just want to say that I left the city on the weekend.

I went out of the city on Saturday.
I went outside the city on Saturday.

Solution 1:

Your sentences are fine. As J.R. mentioned, it's better to say,

I left the city on Saturday.

Out of is better suited in situations like,

I am out of town right now, I will get back to you when I return.

Although outside the city is grammatically correct, it sounds a bit unorthodox in this context.

Solution 2:

The colloquial way to say this would be as follows:

I went out of town this Saturday.

or

I left town this Saturday.

and to talk about going out of town in the future:

I'm going out of town this Saturday.

I'll be leaving town this Saturday.