The colonists had problems with taxation without representation is because they had no say in the matter. They would pay the taxes but Europe made the decisions with the money. Not any of the colonists could make the Decision of we need new roads, schools, etc.
What became the largest slave state in the world, and the destination of over half of all African slaves?
Brazil
They wanted to be independent from being in control of other nations.
Hope that helps.
=)