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

5(2x + 2) - 4 = 2x + 6 (1 point)

The equation has infinite solutions.
The equation has one solution: x = 0
The equation has no solution.
The equation has one solution: x = 1

1 answer

To solve for a in the equation 5(2x + 2) - 4 = 2x + 6, we need to simplify the left side first:

10x + 10 - 4 = 2x + 6
10x + 6 = 2x + 6
10x = 2x

Subtracting 2x from both sides:
8x = 0

Dividing both sides by 8:
x = 0

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