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 no solution.
The equation has no solution.
The equation has one solution: x=1.
The equation has one solution: x equals 1 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has infinite solutions.
To solve for x in the equation 5(2x+2)−4=2x+6, we 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.