3x + 13 = 3 (x + 6) + 1

How many solutions exist for the equation?

There are no solutions as when expanded out the brackets the 3x and the 3x cancel each other out.

To show this,

(/3) x+13/3 = x + 6 + 1/3

x + 13/3 = x + 19/3

x = x + 2

which shows there are no solutions as x does not equal x