Solve for x to determine if the equation has one, none, or infinite solutions.

Question

5(2x+2)−4=2x+6(1 point)
Responses

The equation has one solution: x=0.
The equation has one solution: x equals 0 .

The equation has one solution: x=1.
The equation has one solution: x equals 1 .

The equation has no solution.
The equation has no solution.

The equation has infinite solutions.

Answer 1

To solve the equation 5(2x+2) - 4 = 2x + 6, first distribute the 5 on the left side:

10x + 10 - 4 = 2x + 6

Combine like terms:

10x + 6 = 2x + 6

Subtract 2x from both sides:

8x + 6 = 6

Subtract 6 from both sides:

8x = 0

Divide by 8:

x = 0

Therefore, the equation has one solution: x = 0.