Find a number such that the ratio of 3 times that number and 5 is equal to the difference between that number and 2.

5

Step-by-step explanation:

let x represent the number

3x : 5 = x - 2

3x / 5 = x - 2

cross multiply

3x = 5 (x - 2)

3x = 5x - 10

3x - 5x = - 10

-2x = - 10

Divide both sides by - 2

x = 5