Now, it turns out that, when we are looking for voltage V0, the easiest way to do it is by superposition principle, now, that means that we consider one generator at the time while others are represented as short circuits (since all of them here are voltage generators), thereby, we have the following:

when we consider Vcc only V0=Vcc* (R4+R5)/(R2+R3+R4+R5)

NOTE: i know that this is not the complete expression, V0 will eventually be the same as if we had inverting opamp (in case that R2=R5 and R3=R4)

but, this expression confuses me because it implies that current is the same through all of the resistors R2,...,R4 (R1 is shortened in this case) i don't know how is that possible since we have resistor Rf and and output of OPamp, shouldn't both of them have a current flowing through, thereby, we would have different currents on resistors R2 and R5 for example. How come then this expression still happens to be correct in all textbooks, what am i missing? Any help appreciated!