Will my texts come back if I back up and restore my iPhone?

My iPhone 5s keeps saying I don't have enough storage but I've deleted so much I have a total of only 3 apps I downloaded and 130 pictures. My apps keep force closing so I've decided I should just back up and restore my phone on iTunes but will my texts come back? I've deleted most of my texts too there's just some I want to still have

Should not be a problem. Best luck.