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 infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=0.
To solve the equation 4x = 3(x+5) - 15, we first need to simplify it by using the distributive property:
4x = 3x + 15 - 15
Simplifying further:
4x = 3x
Subtracting 3x from both sides:
x = 0
Therefore, the equation has one solution: x = 0.