It's hard to tell exactly how everything is hooked up on the breadboard but it looks like you have the 220 ohm resistor between the led cathode (-) and ground, not between the lm324 output pin and the led anode (+) as the schematic shows.
I want to run it as a signal amplifier I try to do it many times but didn't work with me I connected positive and negative voltages but that didn't work.
I believe it is because the V- is not connected to, in this case, -6 V. It is connected to a "common" which is ideally ground or 0 V. Electrically common means that any two points in a circuit have the same potential so they show 0 when the voltage between those two points are measured with a multimeter; multimeters measure differential and not absolute voltage. Were it really V+ and V-, you'd have a 12V supply and not 6 V. Even if there is a small amount of voltage, the LED would not light due to the presence (and value) of the resistor.
