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