Solve for x to determine if the equation has one, none, or infinite solutions.%0D%0A5(2x+2)−4=2x+6(1 point)%0D%0AResponses%0D%0A%0D%0AThe equation has infinite solutions.%0D%0AThe equation has infinite solutions.%0D%0A%0D%0AThe equation has no solution.%0D%0AThe equation has no solution.%0D%0A%0D%0AThe equation has one solution: x=0.%0D%0AThe equation has one solution: x equals 0 .%0D%0A%0D%0AThe equation has one solution: x=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.