Hi,
Dave is right, most likely it will be the pistons hanging up or sticking momentarily on the opposite side... I.e., if the car pulls to the right, take a look at the LH caliper.
In rare cases, it can be a problem on the same side though. This might occur if a pad has cracked or delaminated from its backing, or if a rotor has some sort of partial failure, either of which at least temporarily could cause an increase in friction effect and drag on that side (but signal a more complete failure to come).
Other possibilities do include the hoses (old rubber hoses can burst, rubber hoses in general give a softer pedal due to expansion than do braided stainless steel-type hoses... a good upgrade!)
Also there might be a problem with the pads, one or two not seated properly. Or it could be a brake fluid leak or oil has contaminated the pads on one side.
Any system leak might be hard to spot under the car, but would show up as a rapid drop of fluid level in the master cylinder reservoir.
Don't overlook the rear brake adjustment, either, although IMHO that's not as likely the cause.
Finally, many brake pads, rotors, shoes and drums need a careful break-in. For example, read the instructions that come with EBC Greenstuff pads very carefully. Various pads using different materails will each have their own break-in procedure. Failing to follow initial break-in procedure might heavily glaze pads on one side, causing an effect like you are seeing. It might mean replacing the pads, or be as simple as using a file or some sandpaper to remove the glaze on the pad, but do so with care.
Overall, this is such an important enough safety concern that I'd strongly suggest you get a brake repair shop involved if you don't find an obvious solution quickly.
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