solve for x

x-3(x-1)=6x-3-8x
a) infinite solutions
b)no solution
c)0
d)-1
(x-3)(x-1)=-2x-3
so I believe from the information given the answer would be b) no solution.
Is this correct?

correct

but, (x-3)(x-1)=-2x-3 is not the same equation.

Why is it not the same

I 6x-8x=-2x
so that is how I got
(x-3)(x-1)=-2x-3
but both ways are no solution.
Thanks for checking my work

To solve the equation x - 3(x - 1) = 6x - 3 - 8x, we first simplify both sides of the equation:

x - 3x + 3 = 6x - 8x - 3.

Combining like terms gives us:

-2x + 3 = -2x - 3.

To isolate x, let's subtract -2x from both sides, which gives:

2x - 2x + 3 = -3.

Simplifying further:

3 = -3.

However, we can see that 3 is not equal to -3. Therefore, there is no solution to this equation.

So your answer of b) no solution is correct.