suppose a situation with two infinite thin conducting planes in front of each other with one of them having a charge density σ

it can be clearly predicted that the induced charge density on neutral conductor must be uniform on one side. so no matter what charge density in induced on neutral conductor, it results in a zero electric field due to itself anywhere outside it. so net electric field must be $\sigma/2\epsilon$.
but, using method of image charges
the net electric field comes to be $\sigma/\epsilon$

Is method of charges not valid here?
or, is the first interpretation for calculating field wrong?
