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=−10.
The equation has one solution: x equals negative 10 .
The equation has one solution: x=0.
The equation has one solution: x equals 0 .
The equation has infinite solutions.
The equation has one solution: x = -10.
To determine if the equation 4x = 3(x + 5) - 15 has one, none, or infinite solutions, let's solve it step-by-step:
1. Distribute on the right side: 4x = 3x + 15 - 15
2. Simplify: 4x = 3x
3. Subtract 3x from both sides: 4x - 3x = 3x - 3x
4. Simplify: x = 0
Therefore, the equation has one solution: x = 0.