Determine the number of solutions for the equation 1 - 3(x - 2) = 7 - 3x

infinite solutions

no solutions

one solution

I would say you have an infinite number of solutions for this equation. This is because when you expand the bracket on the left, you get 1 - 3x + 6 which is 7 - 3x, which is the same as on the right. The reason the solutions would be infinite is because they're multiplied by the same thing and added to the same thing, so they're always gonna be the same.

I hope this helps!