How maby solutions does this have

8 + 2 (x - 6 ) = -2 +2x - 2

This has infinite solutions.

Step-by-step explanation:

Key skills needed are: One variable equations, Algebra, Adding/Subtracting Like Terms

1) We first start with the equation: 8 + 2 (x - 6 ) = -2 +2x - 2

2) We first need to use distribution property for the parentheses.

We need to distribute the 2 to the x and the -6.

3) This would be 8 + 2x - 12 = -2 +2x - 2

4) The next thing to do is combine like terms.

Like terms are terms with the same variable, or no variable at all. 8 and 6 would be like terms, and 2x and 4x would be like terms. 2x^2 and 4x would not be like terms as one has x^2 and the other has only x.

3) Now you know what like terms are, you can implement this into the problem --> Combine the 8 and 12 on the left side  + Combine the -2 and -2 on the right side > 2x-4 = 2x-4

4) Since both sides have the same exact thing (both sides have 2x-4) this equation has infinite solutions.

Hope you understood and have a nice day!! :D

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: