Solve the following equation.

3(x – 7) – x = 2x – 21
(1 point)
Responses

7
7

–2
–2

infinitely many solutions
infinitely many solutions

no solution

1 answer

To solve the equation 3(x – 7) – x = 2x – 21, we can start by distributing the 3 to the terms inside the parentheses:

3x - 21 - x = 2x - 21

Next, we combine like terms on both sides of the equation:

2x - 21 = 2x - 21

Now, subtract 2x from both sides:

-21 = -21

The equation simplifies to -21 = -21, which is always true.

Therefore, the equation has infinitely many solutions.