Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6 (1 point)
Responses
The equation has one solution: x=6.
The equation has one solution: x equals 6 .
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=10.
To solve the equation, we will first distribute the 5 to terms inside the parentheses:
10x + 10 - 7x = 3x + 6
Next, we will combine like terms on both sides of the equation:
(10x - 7x - 3x) + (10 - 6) = 0
Simplifying further:
0x + 4 = 0
Since we have a constant on one side of the equation and a non-zero constant on the other side, we can determine that the equation has no solution.