We need to express this problem symbolically, that is, in the form of an algebraic equation.
We also need to establish a goal. Your goal here is to "find the number, x."
Six less than 3 times the number is expressed as 3x-6.
Five times the number is expressed as 5x.
Thus, 3x-6 = 5x. Solving -6 = 2x, or x = -3.
We must check this result.
True or false? six less than 3(-3) is the same as 5(-3).
-9-6 = -15 is TRUE.
The number is x = -3.