This was in the Declaration of Independence:
...all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness
Equality is implicit.
The American Revolution occurred before the French Revolution. The French king Louis XVI , the one who married the Austrian Princess Marie Antoinette, helped finance the American Revolution so there would not be American independence without French help. In the meantime, the finances in France was very bad and thus was born the French Revolution.