Given the equation 3x-3=6x+1, select the reasoning that correctly solves for x . add 3 subtract 6x then divide by 3 or subtract 1 subtract 3x then divide by 3

To correctly solve x from the given equation,
                             3x - 3 = 6x + 1
We first subtract 3x from both sides of the equation and this will give us,
                           -3 = (6x - 3x) + 1
Simplifying,
                            -3 = 3x + 1
Then, subtract 1 again from both sides of the equation to give,
                           -4 = 3x
Lastly, divide both sides by 3 giving us a final answer for x which is x = -4/3.