I had recently seen an FB post of a tweet that suggested the main reason for the war was to get King George off Colonist backs so they could expand farther and quicker. Is this true?
Well, it figures a tweet would be just part of an answer.
The colonists had expanded west until they infringed both French claims of authority and the territory of some powerful Native Nations, including the Iroquois Confederacy. The result was the French and Indian War. This was initially mostly fought by colonial militias, which proved to not be up to the task. The large professional army which finally arrived in 1758 from England was able to win a sweeping victory in one year, gaining for England pretty much all of France's Canadian territory. But that acquisition of new territory brought with it new costs, especially for a standing army- and the imposition of taxes to pay those costs met with resistance from the colonists, especially around Boston, who ( despite their experience in the recent War) didn't think they needed the standing army. The British government also made a deal with the Native Nations, and the resulting Proclamation of 1763 barred colonists from taking or buying Native territory beyond the Alleghenies, reserving that privilege to the British government. So, the FB post is not entirely wrong: limiting the colonists' further expansion west was one of their major grievances. They had expected that, with the French out of the way, new lands would be open for settlement. Among those expecting this were those colonial militiamen and their commander, George Washington, who'd been promised land for their service.
So, there we can see the initial reasons for resentment, anger. But the actual growth of colonial resentment to colonial revolt took a number of years. The colonists' resentment grew, as the British government became adamant in asserting its authority. There was very much what engineers would call a failure chain, series of things going wrong which finally lead to a disaster. There was a failure of the British government to understand how deeply unpopular the taxes would be, a failure by the colonists to understand how the government- and the King- would be adamant about their authority to impose them. The actions of one were met with the greater reactions by the other. And efforts to defuse the situation were made quite difficult by the very long delay in communications- by the time the conciliatory Olive Branch Petition was on its way to England, in 1775, the King and his ministers had already published the Proclamation of Rebellion and were firmly fixed on sending military force.
Overall, as British armies began to wage war in the colonies, colonial sentiment swung in favor of the Patriots and independence. So, along with initial grievances, you can very much say that a significant reason for the spread of the revolt was the British effort to crush it. But that effort at suppressing the revolt created a variety of responses from a variety of groups, and that variety makes the narrative of the revolt much more complicated. The French decided to help the Patriots. Native Nations were involved on both sides. As the 1619 Project recently highlighted, southern slaveholders were alienated from England by Virginia governor Lord Dunmore's offer to shelter the slaves who could escape from their rebellious masters. But Virginia also soon became a relatively poor source of Patriot recruits, as those slaveholders tried to keep to their farms. There were disaffected tenants in the Hudson Valley who resented their Patriot landlords. There were unhappy "Regulators" in western North Carolina who were also not eager to fight for the eastern Patriots who had recently oppressed them. And, perhaps most importantly, the British armies could win battles but were not big enough to actually occupy lots of colonial territory. Benjamin Franklin's son William had free reign with his Loyalist militia to attack Patriots on Long Island, which was firmly under British control, but Loyalists in North Carolina, asked to help the British army, discovered that army was not around to defend them when there was retaliation by their Patriot neighbors.
So, there are pretty straightforward reasons for the initial disagreement, among them the Proclamation of 1763. But the reasons why that disagreement became a war for independence, and who was in that war, go far beyond that. And are not simple.
Higginbotham, Don. (1971) The War of American Independence :Military Attitudes, Policies, and Practice, 1763-1789. MacMillan.
Ferling, J. (2004). A Leap in the Dark: The Struggle to Create the American Republic. Oxford University Press.