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 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

To solve for x in the equation 4x = 3(x + 5) - 15, first distribute 3 to both terms inside the parentheses:

4x = 3x + 15 - 15

Now simplify the equation:

4x = 3x

Subtract 3x from both sides:

x = 0

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