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 one solution: x=−10. The equation has one solution: x equals negative 10 . The equation has no solution. The equation has no solution. 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, let's begin by simplifying the equation:
4x = 3(x + 5) - 15

Distribute the 3:
4x = 3x + 15 - 15

Combine like terms:
4x = 3x

Subtract 3x from both sides:
4x - 3x = 0

Simplify:
x = 0

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