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.