CHARLOTTE, N.C. — In an impassioned speech Wednesday that rocked the Democratic National Convention, former President Bill Clinton proclaimed “I know we’re coming back” from the worst economic mess in generations, and appealed to hard-pressed Americans to stick with Barack Obama for a second term in the White House.

Obama strode onstage as Clinton wound up his speech, pulling him into an embrace as thousands of delegates jammed into the convention hall roared their approval.

Conceding that many struggling in a slow-recovery economy don’t yet feel improvement, Clinton said circumstances are indeed getting better, “and if you’ll renew the president’s contract you will feel it.”

To the cheers of thousands of Democrats packed into their convention hall, he said of Obama, “I want to nominate a man who is cool on the outside but who burns for America on the inside.”

Clinton spoke as Obama’s high command worked to control the political fallout from an embarrassing retreat on the party platform, just two months from Election Day in the tight race with Republican challenger Mitt Romney.

Under criticism from Romney, the Obama camp abruptly rewrote the day-old document to insert a reference to God and to declare that Jerusalem “is and will remain the capital of Israel.” Some delegates objected loudly, but Los Angeles Mayor Antonio Villaraigosa, presiding in the largely-empty hall, ruled them outvoted. White House aides said Obama had personally ordered the changes, but they did not disclose whether he had approved the earlier version.

That dispute was far from the minds of most in the hall Wednesday night.

Obama’s campaign hoped Clinton’s speech would prove especially persuasive in an era of sluggish economic growth and 8.3 percent unemployment. Clinton is exceptionally popular 12 years after he left office, particularly among white men, a group among whom Obama polls poorly.

The speech was deemed so important to Obama’s election prospects that convention planners delayed his formal nomination to a second term until Clinton had finished speaking. The familiar roll call of the states began well after television prime time in the eastern part of the country and was completed well past midnight.

The speech was vintage Clinton, overlong for sure, insults delivered with a folksy grin, references to his own time in office and his wife Hillary, all designed to improve Obama’s shaky re-election prospects.

The convention hall rocked with delegates’ applause and cheers when the former president strode onstage to sounds of “Don’t Stop Thinking About Tomorrow,” his 1992 campaign theme song.

He sought to rebut every major criticism that Republicans leveled against the president at their own convention last week in Tampa, Fla., and said that in fact, since 1961, far more jobs have been created under Democratic presidents than when Republicans sat in the White House – by a margin of 42 million to 24 million.

Clinton accused Republicans of proposing “the same old policies that got us into trouble in the first place” and led to a near financial meltdown. Those, he said, include efforts to provide “tax cuts for higher-income Americans, more money for defense than the Pentagon wants and … deep cuts on programs that help the middle class and poor children.”

“As another president once said, ‘There they go again,’” he said, quoting Ronald Reagan, who often uttered the remark as a rebuke to Democrats.

There was another reference to Reagan, whom Democrats routinely accused of advocating “trickle down economics” that favored the rich. “We simply cannot afford to turn the reins of government over to someone who will double down on trickle-down,” Clinton said.

Obama flew into his convention city earlier in the day and arrived in the hall in time for Clinton’s speech.

On an unsettled convention day, aides scrapped plans for Obama to speak to a huge crowd in a 74,000 seat football stadium, citing the threat of bad weather in a city that has been pelted by heavy downpours in recent days.

“We can’t do anything about the rain. The important thing is the speech,” said Washington Rey, a delegate from Sumter, S.C.

That and the eight-week general election campaign about to begin between Obama and Republican challenger Romney, who spent his second straight day in Vermont preparing for this fall’s debates with Obama.

Clinton shared prime time with Elizabeth Warren, the Democratic candidate for a Republican-held Senate seat in Romney’s Massachusetts. For many years “our middle class has been chipped, squeezed and hammered,” she said.

A parade of speakers praised Obama and criticized the Republicans, sometimes harshly.

Sandra Fluke, a law student whom congressional Republicans would not let testify at a hearing on contraceptives, said if Republicans win in the fall, women will wake up to “an America in which access to birth control is controlled by people who will never use it, in which politicians redefine rape.”

Clinton’s speech marked the seventh consecutive convention he has spoken to party delegates, and the latest twist in a relationship with Obama that has veered from frosty to friendly.