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Whether total energy output is equal to the energy input depends on whether you have an isolated system. It is possible to put more energy into a system than leaves it and vice versa. In that case accumulation of energy in the system can be positive or negative. In general, the formula for the energy balance is:

Energy in - Energy out = Change in contained energy (i.e. accumulation).

Energy can be added to or removed from a system via work done on (or by) the system, heat added to or removed from the system, and mass added to or removed from the system. Energy can change form in a system or be added or removed from a system via such mechanisms as changes in kinetic energy, changes in potential energy, changes in pressure/volume, phase changes, changes in chemical composition (chemical reactions), etc. In steady state processes, accumulation has to be zero, so any energy input, by any means, must be balanced by energy output.

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