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

5(2x+2)−4=2x+6 (1 point)
Responses

The equation has one solution: x=1.

The equation has infinite solutions.

The equation has one solution: x=0.

The equation has no solution.

1 answer

To solve for x in the given equation, we first need to simplify both sides:

5(2x+2) - 4 = 2x + 6
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
10x - 2x = 6 - 6
8x = 0
x = 0

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