That may be true of individuals, but not of corporations. Keep in mind that corporations register at the State level, not the Federal level. This means you'll have to choose a state in which to incorporate. Many people choose Delaware or Nevada because those states do not have a corporate income tax.
There is a caveat to that, however. Any state you do business in, other than your home state, will require you to register as a foreign corporation for the purpose of... you guessed it, taxing you.
Even as an LLC operating outside of your home state, you still must register as a foreign corporation. Now, as Dpeper posted, an LLC is a pass-through tax entity, so you would not be taxed in the same manner as a foreign C-Corp would. But each state has its own laws regarding how they tax foreign LLC's, so count on being taxed in some fashion. California, for example, levies something like 1 or 2 percent of your LLC income, if I remember correctly.
The best advice I can give you is to contact a CPA or tax attorney familar with this particular issue. None of us here are truly qualified to give you the scope of advice you need.