Solve the following equation.

Question

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

7
7

–2
–2

infinitely many solutions
infinitely many solutions

no solution
no solution

Answer 1

To solve the equation, we can start by distributing the 3 on the left side:

3x - 21 - x = 2x - 21

Combining like terms on both sides, we have:

2x - 21 = 2x - 21

Now, subtracting 2x from both sides:

-21 = -21

Since both sides are equal, this means there are infinitely many solutions. Thus, the correct answer is "infinitely many solutions".