Mixed up with the understanding of y~0+ intercept+x and y~x

“On this centered intercept, specifying a prior is actually much easier and intuitive than on the original intercept, since the former represents the expected response value when all predictors are at their means. To treat the intercept as an ordinary population-level effect and avoid the centering parameterization, use 0 + intercept on the right-hand side of the model formula.”

Here, how is the interpretation of intercept & slope different for centered and uncentered predictor variables?
Is there anything I can refer to where I can get a better understanding of this with an example?

I think it means things are mean centred by default and adding 0+ tells BRMS not to mean centre.

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