Wat motives of crusading Frankish armies coming  western Europe? Why did focus on conquering Syria n Palestine instead relieving Byzantium?

What you think of my answer  below- 

The Franks viewed themselves as protectors of the papacy and offered the popes both political and military support, which is why the Crusades happened. The reason for them and why they lasted from 1095-1492 was for the diffusion of the Christian religion. Behind almost all wars, the main goal would be expansion, and with the crusades, the same thing was happening. The reason for the focus on Syria and Palestine would be because of the conclusion on the behalf of the crusaders that the Byzantium emperors was supporting the Muslims against them. The Byzantium kingdom was also seen as “an obstacle to the successful recovery of Jerusalem,” (pg 283). Out of the Seljuk Turks, Fatimids, Byzantines, the Jewish people and the Frankish crusaders, the crusaders claims are the least legitimate. This is because all 3 universal religions stem from one another, so for any religion to come into and cry to have singular claims to the land is wrong.