i'm not even going to lie, i've never lived on my own because i could not afford to in southern california, even when i was making $16 an hour in 2010. but that's the thing of it; we have no idea where you are, so we don't know what you can afford. orange county? ha! laughable for someone making below $20 and hour. the rents in that area cost more than my current mortgage (i've since moved out of state to buy a home).
if you're in california, oregon, new york, washington, florida, or in any bigger city, you won't be able to get out on your own, unless you choose to move to the boonies of these states. if you're not, look in your area for an affordable studio or one bedroom. the key to paying rent and saving is budgeting and sticking to it. it also wouldn't help to stick it out as much as you can and pay off any debt you might have, like credit cards.
you can get budgeting apps through your phone or do the age-old excel spreadsheet method. either way,a budget is what will keep you on track. it's not impossible, but you have to ask yourself this: if you're pinching pennies every week, worrying about money, what you can cover, and stressed beyond capacity, then it's not worse being apartment poor.
if worse comes to worse, you can always try to get better roomies and keep saving.