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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 infinite solutions.
The equation has one solution: x=1.
The equation has one solution: x=0.
The equation has no solution.
Bot GPT 3.5
answered
To solve for x in 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 both sides by 8: x = 0
Therefore, the equation has one solution: x = 0.