The Washington Monthly explains how Reagan actually RAISED taxes a lot:
It’s conservative lore that Reagan the icon cut taxes, while George H.W. Bush the renegade raised them. As Stockman recalls, “No one was authorized to talk about tax increases on Ronald Reagan’s watch, no matter what kind of tax, no matter how justified it was.” Yet raising taxes is exactly what Reagan did. He did not always instigate those hikes or agree to them willingly–but he signed off on them. One year after his massive tax cut, Reagan agreed to a tax increase to reduce the deficit that restored fully one-third of the previous year’s reduction. (In a bizarre bit of self-deception, Reagan, who never came to terms with this episode of ideological apostasy, persuaded himself that the three-year, $100 billion tax hike–the largest since World War II–was actually “tax reform” that closed loopholes in his earlier cut and therefore didn’t count as raising taxes.)
Faced with looming deficits, Reagan raised taxes again in 1983 with a gasoline tax and once more in 1984, this time by $50 billion over three years, mainly through closing tax loopholes for business. Despite the fact that such increases were anathema to conservatives–and probably cost Reagan’s successor, George H.W. Bush, reelection–Reagan raised taxes a grand total of four times just between 1982-84.
Reagan continued these “modest rollbacks” in his second term. The historic Tax Reform Act of 1986, though it achieved the supply side goal of lowering individual income tax rates, was a startlingly progressive reform. The plan imposed the largest corporate tax increase in history–an act utterly unimaginable for any conservative to support today. Just two years after declaring, “there is no justification” for taxing corporate income, Reagan raised corporate taxes by $120 billion over five years and closed corporate tax loopholes worth about $300 billion over that same period.