(p++)->x Why are the parentheses unnecessary? (K&R)

Question

From page 123 of The C Programming Language by K&R:

(p++)->x increments p after accessing x. (This last set of parentheses is unnecessary. Why?)

Why is it unnecessary considering that -> binds stronger than ++?

EDIT: Contrast the given expression with ++p->x, the latter is evaluated as ++(p->x) which would increment x, not p. So in this case parentheses are necessary and we must write (++p)->x if we want to increment p.

Answer 1

The only other possible interpretation is:

p++(->x)

and that doesn't mean anything. It's not even valid. The only possible way to interpret this in a valid way is (p++)->x.