To design a circuit that indicates whether a balance scale needs extra weight added to the left side or the right side, you need to create a system that measures the difference in weight between the left and right sides of the scale. One way to do this is to use two load cells, one for each side of the scale, that measure the weight on each side. The load cells can be connected to a differential amplifier that calculates the difference in weight between the two sides. If the difference is positive, the right side is heavier and needs more weight added to it. If the difference is negative, the left side is heavier and needs more weight added to it. The output of the differential amplifier can be connected to a display or an LED that indicates which side needs more weight.