What is the number The product of a number and 13 is the same as the difference of 2 and the number?

If I understand your question correctly, it is the equivalent of solving for the value of x in this algebraic equation:

13x = x-2

The steps are as follows:

13x = x-2

subtract x from both sides

13x-x = -2

factor out the x

x(13-1) = -2

divide both sides by (13-1)

x = (13-1) / (-2)

x = - 1/6