Updated at 7:25 p.m. ET

The GOP-led House passed Speaker John Boehner's revised plan to raise the debt ceiling, as Congress raced to avert default on the government's obligations.

After a tense 24 hours of wrangling, Boehner got 218 members of his GOP caucus to support the plan following a mini-rebellion from conservatives who balked Thursday night.

Not a single Democrat voted for the measure and 22 Republicans -- including 11 freshmen, many elected with Tea Party support -- opposed the measure.

Tuesday is the deadline for Congress to increase the nation's $14.3 trillion in borrowing authority or the government won't have enough money to pay all its bills.

The measure now moves to the Senate where it is sure to be defeated by the Democratic-controlled chamber.

Minutes before the House vote, Boehner took to the floor to urge passage of his revised bill. He at times angrily placed blame on President Obama and congressional Democrats for pushing the nation to the brink of economy calamity. Earlier in the day, the White House and Senate Majority Leader Harry Reid pointed fingers at House Republicans.

"I stuck my neck out a mile to get an agreement with the President of the United States," Boehner said, his voice getting louder as he spoke.

"A lot of people in this town can never say yes," he said, repeatedly charging Democrats have not proposed plans of their own. "Tell us where you are."

Reid, who pushed ahead with his own plan, said no Senate Democrat would vote for a short-term extension of the debt limit, as Boehner's plan would do.

"What's being done in the House is not a compromise," he said. "It is being jammed through."

House Minority Leader Nancy Pelosi, D-Calif., said the Boehner bill "is going nowhere and is a waste of time."

Boehner's remarks on the House floor today were his first public statements since he abruptly called off a vote last night on his plan so he could get more support from recalcitrant Republicans.

The clincher was a provision requiring Congress to pass a balanced budget amendment to the Constitution in order to get another increase in the debt ceiling next year. That amendment is strongly opposed by the White House and Senate Democrats.

Obama earlier in the day beseeched Republicans and Democrats in Congress to work together and forge a compromise that could past muster with the House, Senate and White House.

"We're almost out of time," he said in remarks earlier today from the White House.

House phone lines again today were flooded and callers are getting busy signals, according to the House Chief Administrative Officer's technology call center.

Boehner's plan would raise the nation's borrowing authority by $900 billion and cut federal spending by $917 billion.

A second increase of $1.6 trillion to the debt limit next year would only occur if both chambers of Congress pass a balanced budget amendment to the Constitution and send it to the states for ratification.

Boehner's mention of the balanced budget amendment drew a strong response. There was a mixture of cheers from the conservative Republicans who held out to get the concession and boos from Democrats who are opposed to the provision.

The balanced budget amendment swayed Republicans such as Jeff Flake of Arizona and Phil Gingrey of Georgia, who were among those subjected to last-minute cajoling from Boehner and his leadership team.

Nothing could convince 22 Republicans to vote for the bill, including GOP presidential hopefuls Michele Bachmann and Ron Paul.

A balanced budget amendment has little chance of passing a Senate where Democrats have a 53-47 voting edge. Republicans even admit that: Sen. John McCain, R-Ariz., drew the ire of Tea Party supporters this week when he said as much on the Senate floor.

Constitutional amendments need a two-thirds vote from the House and Senate in order to move on to the states. If a balanced budget amendment did pass this divided Congress, it would still need to be ratified by three-fourths of the states.

(Contributing: Jackie Kucinich, Fredreka Schouten and the Associated Press)