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

Question

4x = 3 (x + 5) - 15

A. The equation has one solution: x = - 10
B. The equation has one solution: x = 0
C. The equation has no solution.
D. The equation has infinite solutions.

Answer 1

A. The equation has one solution: x = -10

To solve for x, we first distribute on the right side of the equation:
4x = 3x + 15 - 15

Combine like terms:
4x = 3x

Subtract 3x from both sides:
x = 0

Therefore, the correct answer is x = 0, which means the equation has one solution.