Doing it by FFT and eliminating the unwanted components is actually not desired because it normally results in some distortion of the signal. You can design a filter using your specifications. For example, with all your information, let's say you want to design a 10th order filter, you can do the following:
hd = design(fdesign.bandpass('N,Fc1,Fc2',10,2.5e6,7.5e6,20e6));
To see the filter response, you can do
fvtool(hd)
If you want to pass signal through the filter, you can do
y = filter(hd,x)