My left rear door on 2012 equinox will not unlock with the fob or the drivers lock button, it unlocks manually, also the right rear door will not open from the inside it be opens from outside.

Question edited to correct spelling of model muramo > Murano
Question moved to year make model category.

It must be the switch that is behind the lever on the hatch itself, or linkage to the switch. Other ideas and fixes in the link

https://www.google.com/search?q=2012+Nissan+Murano+-+rear+hatch+lock+on+door+doesn%27t+unlock

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Troubleshooting is required to inspect few parts.It can be issue with ignition switch.Its not getting off.Or issue with sensor or wiring.Or its faulty lock itself.Click the link below and follow the troubleshooting:----Driver Door will not lock or unlock with Key or Remote? http://whatisbyme.blogspot.in/2012/05/1998-toyota-landcruiser-driver-door.html
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Driver side door will not lock or unlock with Remote? http://technoanswers.blogspot.in/2012/04/2009-toyota-tundra-driver-side-door.html
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Central locking not working ? http://schematicsdiagram.blogspot.in/2012/03/this-is-how-system-operates.html

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Remote will not unlock Rear door ?
http://schematicsdiagram.blogspot.com/2011/12/remote-will-not-unlock-rear-door-on-gmc.html

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Repairing car Door lock Actuator?
http://howtobyme.blogspot.com/2011/11/repairing-car-door-lock-actuator.html

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How to Access car door panel?
http://howtobyme.blogspot.com/2011/11/how-to-access-car-door-panel.html

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Vehicle door panel components?
http://howtobyme.blogspot.com/2011/11/vehicle-door-panel-components.html

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This will help.
Thanks.

1) Your key fob could need a new battery.
2) Your fuses could need checking.

turn key twice when opening, ie turn right. once drivers door will unlock, turn twice passengers doors will unlock, and locking is turn anti clock wise once will lock all doors, turn twice will set door dead locks.dead locks will stop openand lock internal button working and handle from opening door. the same actions can be applied to the remote one press drivers door, two press passenger doors, press and hold unlock button for 5 seconds and rear window will open.

sequence for freelander lock unlock, to lock 1press = door lock , 2press = door dead lock , to unlock 1 press = driver door unlock, 2 press = passenger doors unlock, also rear window can be operated from fob to do so press and hold unlock button for 3 or more seconds and rear window will roll down.neat feature.hope this helps

Could be a relay for that door..
Or it could be the auto lock motor for that door.

To get inside the car .... Use the key in the lock cylinder, unlock the drivers door to get inside. You shouldn't have to reprogram the fob unless it or the keyless module was changed. There may be a blown fuse that supplies the keyless control module (check the owners manual for location). or wires that lead into the Drivers door may be damaged ... The keyless module is located inside the drivers door at the bottom behind the door panel ... do the unlock/lock and trunk release switches on the inside of the drivers door operate the locks and or trunk release? If so it is not the fuse ... and not the wires to it ... And it could be your BCM body control module, located in the dash board to right of your gas petal. Because the number entry keypad (code for that is on the inside of the right passenger trunk bracket arm) also doesn't work I assume it's not the key fobs themselves. Your 98 manual is correct for your car.

No easy way to do this - you need to remove the inside door panel from inside the truck and manually release the lock. You didn't say where the wiring was burnt, but when the door is open test for power at the lock solenoid - if not there when unlock is pressed, inspect the wiring (particularly at the two rubber wire casings connecting the door to the frame). If it is there, the lock solenoid is stuck and may have to be replaced.