Question

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.

Answer 1

4x=3(x+5)−15(1 point)
4 x - 3 x = 15 - 15
x = 0

Period.

Answer 2

The correct response is: The equation has one solution: x=-10.

To solve for x, we first distribute the 3 and -15 to get:

4x = 3x + 15 - 15

Simplifying further:

4x = 3x

We then subtract 3x from both sides:

x = -10

Therefore, the equation has one solution, x = -10.