How can I back out of a job offer without burning a bridge?

Bysin21
I was offered a job that I accepted for a little bit of more money. Just 5k more. But as stressful as my current role is there are some significant benefits to staying. The other job seems to be less stressful.

I have been thinking of backing out of my acceptance. However, I want to do so professionally. I thought about just saying when I gave my resignation with my current employer that they counter offered and I have decided to stay and try to grow more with my current organization. Would this be a negative thing to say or do? Has anyone else ever backed out of a job acceptance?
How can I back out of a job offer without burning a bridge?
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