If you feel the bench bleeding was successful and all air bubbles were removed from piston chamber , you really should bleed each wheel to ensure that no air bubbles are in the lines after the master cylinder that travel to each wheel . Whenever you open a brake line , air will get in and that air must be bled out. You may have a solid pedal now but soon you will find the pedal get soft and feel it drop as you apply pressure . Providing the bench bleeding was done well , the wheel cylinders and calipers will bleed easier since the master can now apply the correct pressure in each stroke of the brake pedal . Remember , don't rush the pedal strokes . Firm , steady and slow. Air bubbles rise slowly back to master so rapid strokes will not keep pressure on the line being bled long enough for the air to reach the wheel bleeder. Once the pumping pressure is at its firmest , the air should have reached the wheel being bled. Repeat this process until no air is witnessed exiting bleeder from all wheels.