Answer by taking a quote from the following article:

George Herbert Walker Bush (born June 12, 1924) is an American politician who served as the 41st President of the United States from 1989 to 1993. Prior to assuming the presidency, Bush served as the 43rd Vice President of the United States from 1981 to 1989. A member of the Republican Party, he had previously been a Congressman, Ambassador and Director of Central Intelligence. While active in the public sector, he was known simply as George Bush; since 2001, he has often been referred to as George H. W. Bush, Bush the Elder or George Bush Senior in order to distinguish him from his eldest son, George W. Bush, the 43rd president of the United States.

Bush served as Chairman of the Republican Party for Harris County, Texas in 1964, but wanted to be more involved in policy making, so he set his sights high: he aimed for a U.S. Senate seat from Texas. After winning the Republican primary, Bush faced his opponent, incumbent Democrat Ralph W. Yarborough, who attacked Bush as a right-wing extremist. Bush was a strong supporter of Republican Senator Barry Goldwater, who headed the Republican ticket as the presidential candidate. Like Goldwater, Bush strongly opposed civil rights legislation in the name of states rights. Yarborough, a leading Texas liberal, supported the civil rights legislation and was reelected by 56% - 44%. The Republican candidate for governor, Jack Crichton of Dallas, who often campaigned alongside Bush before the election, lost by a much wider margin to Governor John B. Connally Jr. Bush and the Harris County Republicans played a role in the development of the new Republican Party of the late 20th century. First, Bush worked to absorb the John Birch Society members, who were trying to take over the Republican Party. Second, during and after the civil rights movement, Democrats in the South who were committed to segregation left their party, and although the "country club Republicans" had differing ideological beliefs, they found common ground in hoping to expel the Democrats from power.  Bush was elected in 1966 to a House of Representatives seat from the 7th District of Texas, defeating with 57 percent of the ballots cast the Democrat Frank Briscoe, the district attorney of Harris County known for his law-and-order credentials and a cousin of later Governor Dolph Briscoe. Bush was the first Republican to represent Houston in the U.S. House. Bush's representative district included Tanglewood, the Houston neighborhood that was his residence; his family had moved into Tanglewood in the 1960s. His voting record in the House was generally conservative: Bush voted for the Civil Rights Act of 1968, although it was generally unpopular in his district. He supported the Nixon administration's Vietnam policies, but broke with Republicans on the issue of birth control, which he supported. Despite being a first-term congressman, Bush was appointed to the powerful House Ways and Means Committee, where he voted to abolish the military draft. He was elected to a second term in 1968.  In 1970 Nixon convinced Bush to relinquish his House seat to run for the Senate against Ralph Yarborough, a fierce Nixon critic. In the Republican primary, Bush easily defeated conservative Robert J. Morris, by a margin of 87.6% to 12.4%. Nixon came to Texas to campaign in Longview for Bush and gubernatorial candidate Paul Eggers, a Dallas lawyer who was a close friend of U.S. Senator John G. Tower. Former Congressman Lloyd Bentsen, a more moderate Democrat and native of Mission in south Texas, defeated Yarborough in the Democratic primary. Yarborough endorsed Bentsen, who defeated Bush, 53.4 to 46.6%. As Bush's political career waned, he moved out of Houston and sold his first Tanglewood house, but for periods of time continued to reside in Tanglewood.

Was it a successful run?
Yarborough endorsed Bentsen, who defeated Bush, 53.4 to 46.6%.