The crusades were a series of battles that took place over more than two centuries to achieve what end for both muslims and
christians?

Crusades should not be viewed as colonization or colonization projects even though there are some points in common. Crusades had as a main objective to conquer Palestine, temple of God from the hands of non-Christians/muslims.

Explanation:

at the same time it was this activity, this project that could unite Christian West (all the kings and kingdoms under the leading ideology of medieval papacy) and to give it Christian religion as a basis and fundament of medieval West.

The main goal of the crusades was to retake the Holy City of Jerusalem and the Holy Land from the hands of Muslims. But Jerusalem was and still is a sacred place for Islam. Beyond any true religious motivations, many feudal lords and knights who participated in the crusades got lands, wealth and titles in those areas.

Explanation:

on a flat and narrow coastal plain, between the foothills of the brazilian highlands and the atlantic ocean, on the shore of guanabara bay, in the state of rio de janeiro, brazil, the tropical zone in south america.