Six less than three times a number is the same as five times the number

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.