If the sum of a number and nine is doubled, the result is four less than the number. Find the number

- 22

Step-by-step explanation:

let the number be n then 2 (n + 9) is the sum of the number and nine doubled, thus

2 (n + 9) = n - 4 ← 4 less than the number

Distribute parenthesis

2n + 18 = n - 4 (subtract n from both sides)

n + 18 = - 4 (subtract 18 from both sides)

n = - 22

The number is - 22