To solve for x, we can simplify the equation first:
5(2x + 2) - 7x = 3x + 6
First, distribute the 5:
10x + 10 - 7x = 3x + 6
Combine like terms:
10x - 7x + 10 = 3x + 6
3x + 10 = 3x + 6
Now, subtract 3x from both sides:
3x - 3x + 10 = 3x - 3x + 6
10 = 6
Since this results in a false statement (10 is not equal to 6), there is no solution to this equation.
Therefore, the correct answer is:
The equation has no solution.
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 infinite solutions.
The equation has infinite solutions.
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 one solution: x=10.
1 answer