'equally-distributed' originates from the combination of 'equal' and 'distribute', where 'equal' meant 'the same in quantity, size, degree, or value' and 'distribute' meant 'to divide among several or many'.

'equally-distributed' changed from the Old French word 'distribuer' and eventually became the modern English word 'distribute'.

Initially, it meant 'to divide equally among several', and this meaning has largely remained the same in modern usage.