Question

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6(1 point)
Responses

Answer 1

5x = x
is true only for x=0

Answer 2

First, distribute the 5 on the left side:

10x + 10 - 4 = 2x + 6

Combine like terms:

10x + 6 = 2x + 6

Subtract 6 from both sides:

10x = 2x

Divide both sides by 2:

5x = x

Since x = x is true for all values of x, this equation has infinitely many solutions.

Answer 3

Apologies for the mistake in my previous response. Let's correct it:

10x + 6 = 2x + 6

Subtract 6 from both sides:

10x = 2x

Subtract 2x from both sides:

8x = 0

Divide by 8:

x = 0

Therefore, the equation has only one solution, which is x = 0. Thank you for pointing out the error.