When you cut open the USB cable there will be 4 small wires: green, white, red, and black. Red is +5V and black is ground. Hook up all your + leads from your LEDs to the red wire, and all your - leads from your LEDs to the black wire (assuming your LEDs have built in resistors). If you use your computer's power supply, use a red wire coming off the PS and one of the black grounds.
Kind of hard to see, but I tapped into my
MK fight stick's usb cable to power some LEDs using a Molex connector.