Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15 (1 point)
Responses
The equation has no solution.
The equation has no solution.
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has one solution: x=−10.
The equation has one solution: x equals negative 10 .
The equation has infinite solutions.
To determine the solution for this equation, we first simplify both sides:
4x = 3(x + 5) - 15
4x = 3x + 15 - 15
4x = 3x
Subtract 3x from both sides:
4x - 3x = 3x - 3x
x = 0
Therefore, the equation has one solution: x = 0.