Question

Solve for x to determine if the equation has one, none, or infinite solutions.4x=3(x+5)−15 (1 point)ResponsesThe equation has infinite solutions.The equation has infinite solutions.The equation has one solution: x=0.The equation has one solution: x equals 0 .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 .

Answer 1

To solve the equation 4x = 3(x + 5) - 15, we first distribute the 3 on the right side:

4x = 3x + 15 - 15
4x = 3x

Subtracting 3x from both sides gives:

x = 0

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