The White House had predicted only $4.9 trillion in deficits.
The Congressional Budget Office on Monday lowered its estimates of projected deficits over the next decade because of lower spending on healthcare.
Insurance coverage provisions will cost $104 billion less than estimated over 10 years.
The CBO projects a $492 billion deficit for 2014, down from $514 billion.
The House offered up a buffet of six budgets this week for members to chose from.
Budget experts say no one inside the administration appears to be an automatic pick.
Spending from Oct. 1 through March 31 totaled $1.7T while revenue was $1.3T.
The passage of the fiscal 2015 blueprint is a significant victory for GOP leaders.
The House on Thursday rejected a budget alternative offered by the Democratic Caucus, with the help of 31 House Democrats.
The House on Thursday rejected the Republican Study Committee (RSC) budget alternative, on the way to completing consideration of the GOP 2015 spending blueprint.