6-2(3x-3) =-18

6-6x-6=-18
12x=-6=18=24
12x=24
x=2
check this problem is it right.

no

6-2(3x-3) =-18
6-6x+6=-18
-6 x + 12 = -18
-6 x = - 30
x = 5

check
6 - 2(15-3) = -18???
6 - 24 = -18
-18 = -18 yes, check

6-2(3x-3) =-18

6-6x-6=-18
12x=-6=18=24
12x=24
x=2

Your first step is incorrect. When you multiply two negatives, the answer is a positive.
6 - 6x + 6 = -18

I don't know where you got 12x.

6-2(3x-3) =-18
6 - 6x + 6 = -18
12 + 18 = 6x
5 = x


Check it out by substituting 5 for x in your original problem.

To check if the solution is correct, we should substitute the value of x back into the original equation and see if both sides of the equation are equal.

Given equation: 6 - 2(3x - 3) = -18

Substitute x=2 into the equation:

6 - 2(3(2) - 3) = -18

Simplify the equation:

6 - 2(6 - 3) = -18
6 - 2(3) = -18
6 - 6 = -18
0 = -18

The equation is not true when x=2. Therefore, 2 is not the correct solution.