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 no solution.
The equation has no solution.

The equation has infinite solutions.
The equation has infinite solutions.

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

Answer 1

To solve for x, we first distribute the 5 and simplify the equation:
10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6

Next, we'll subtract 2x from both sides of the equation:
8x + 6 = 6

Then subtract 6 from both sides:
8x = 0

Finally, divide by 8:
x = 0

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