Solve the equation. 2x-6=2(x-8)+10 a. x=2 b. x=8 c. infinitely many solutions d. no solution

The correct answer is letter C, infinitely many solutions.

Because when you solve an equation and a number is equal to the same number, the equation have infinitely many solutions.

2x-6=2(x-8)+10           Distribution

2x-6=2x-16+10            Combine like terms

2x-6=2x-6                    Divide by 2x

-6=-6

No solution because >
2X-6=2(X-8)+10
2X-6=2X-16+10

So no solution for this
The answer is (d.no solution)
I hope that the answer is correct ☺️