Solve for x to determine if the equation has one, none, or infinite solutions.

Question

4x=3(x+5)−15(1 point)
Responses

The equation has one solution: x=0.
The equation has one solution: x equals 0 .

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.
The equation has one solution: x equals negative 10 .

Answer 1

To solve for x in the equation 4x = 3(x + 5) - 15, we need to distribute the 3 on the right side:

4x = 3x + 15 - 15
4x = 3x

Subtracting 3x from both sides, we get:

4x - 3x = 0
x = 0

Therefore, the equation has one solution: x = 0.