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Divide the position of each layer by the "distance" you want it to have from the camera.

For example: Create a couple of variables to represent the camera position, cameraX and cameraY. Set these to equal the position of your character, possibly adding on a bit extra in the direction of movement.

The main layer would just be positioned at

mainLayer.x = -cameraX;

the middle layer at something like

middleLayer.x = -cameraX * 0.5;

and the far layer at

farLayer.x = -cameraX * 0.2;

Change the constants as needed.