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

Question

4x=3(x+5)−15

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

B, The equation has one solution: x=−10.

C. The equation has no solution.

D. The equation has infinite solutions.

Answer 1

To solve the equation, we can start by simplifying both sides:

4x=3(x+5)−15

Distribute the 3 on the right side of the equation:

4x = 3x + 15 - 15

Combine like terms:

4x = 3x

Subtract 3x from both sides:

x = 0

So the equation has one solution: x = 0.

Therefore, the correct answer is:

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