3(x-7)-x=2x-21 a. 7 b. -2 c. infinitely many solutions d. no solution

Answer 1

To solve the equation 3(x-7)-x=2x-21, we can begin by simplifying the equation:

3(x-7)-x=2x-21
3x - 21 - x = 2x - 21
2x - 21 = 2x - 21

Next, we can subtract 2x from both sides of the equation:

-21 = -21

Since -21 equals -21, this equation has infinitely many solutions because any value of x will satisfy the equation. Therefore, the correct answer is c. infinitely many solutions.