Question

3x + 13 = 3(x + 6) + 1
How many solutions exist for the equation?

Answer 1

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