Here are the mathematical expressions matched with each phrase:
- Twice a number, increased by five: 2x + 5
- Twice the difference of a number and five: 2(x - 5)
- Twice the sum of a number and five: 2(x + 5)
- Five decreased by twice a number: 5 - 2x
- Five less than twice a number: 2x - 5
- Twice a number less five: 2x - 5
Note that the expressions for "five less than twice a number" and "twice a number less five" are the same.