Braswell owned Holt Lake Gas & Grill, a gas station and restaurant in Four Oaks.[3] He was also a principal owner in Legends Real Estate and served as president of the firm's investment group.[4] Braswell also worked in farm insurance for thirty-two years.[4]
Braswell served as mayor of Pine Level.[4] In 2004 he was elected to the Johnston County Board of Commissioners.[4] As a county commissioner, Braswell supported a two-cent cut in property-tax rates, bringing an Ashley HomeStore distribution center and retail outlet to Four Oaks and the construction of a mixed-use retail development in Selma to create 3,000 jobs.[4] He also voted for the board of commissioners to hire the county's first recreation director in 2019.[4]
In 2011 he was added to the Johnston County Sports Council.[5] Braswell also serves on the Johnston County Planning Board, the Johnston County Social Services Board, the Community & Senior Services Board, and the North Carolina Veterans Affairs Commission.[3][6][7]
In 2015 Braswell ran an unsuccessful campaign for the North Carolina House of Representatives as a representative of the twenty-eighth district.[8] He ran with a promise to end "government over-regulation" of North Carolinians.[8]
In 2015, as county commissioner, Braswell supported a deal with Novo Nordisk to provide 700 pharmaceutical production jobs with $110 million in tax rebates and infrastructure spending.[9] In 2016 Braswell, who initially supported the construction of a CSX Transportation intermodal terminal, later opposed the proposal and accused the company of "strong-arm tactics".[10][11][12][13] He later stated that he and the other members of the board supported the terminal, but not the terms of the proposal and how it would effect local property owners.[14][15] The board, including Braswell, moved to again support the project after plan was updated in March 2016.[16] On December 28, 2018 Braswell voted to approve a series of self-funded financial incentives for Novo Nordisk, which planned to invest $1.2 billion into Johnston County for production. The approval included benefits to the company equaling $94 million over a fifteen-year period.[17] In 2015 he supported long-term funding for Johnston County's trash and recycling services.[18]
In early 2016, Braswell appointed a 3-member committee to oversee the development of the county's first Master Aging Plan. He later served on the Johnston County Council on Aging.[4][19] In March 2016, while serving as chairman of the board of county commissioners, Braswell admitted to posting sensitive financial information on Facebook, including bank account numbers, related to the Johnston County Board of Education.[20] Later that year he was part of a driver safety forum to reduce the risk of teen fatalities.[21]
In December 2019, Braswell filed to run for a fifth term as County Commissioner, representing District 6 of Johnston County.[3] He ran opposed in the Republican primary by two other candidates.[4] He won his seat with 9,470 votes.[22] He supported funding for the construction and maintenance of public parks and recreational areas in Johnston County. He led the move by the commissioners to undo a requirement that county residents purchase a decal to use the solid waste centers, stating "every citizen" needed "access to the convenience centers".[4]
In January 2020 Braswell stated that he supported the Constitution and was committed to protecting the rights of gun owners under the Second Amendment, after an online petition urging Johnston County Commissioners to create an ordinance making the county a "sanctuary" for gun rights gained several thousand signatures.[23]