Born in Center, Texas, Combs attended the public schools. He was graduated from Southwest Texas State Teachers' College in 1912. He was admitted to the bar in 1918 and commenced practice in Kountze, Texas. County judge of Hardin County, Texas, in 1919 and 1920. He served as district judge of the seventy-fifth district 1923-1925. He served as associate justice of the ninth court of civil appeals 1933-1943. He served as member and president of the board of trustees of South Park Schools 1926-1940. He served as president of the board of trustees of Lamar College 1940-1944.
Combs was elected as a Democrat to the Seventy-ninth and to the three succeeding Congresses (January 3, 1945-January 3, 1953). He was not a candidate for renomination in 1952. He returned to Beaumont, Texas, where he died August 21, 1953. He was interred in Magnolia Cemetery.