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 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 one solution: x=−10. The equation has one solution: x equals negative 10 . The equation has no solution.
To solve the equation, let's simplify it first:
4x = 3(x+5) - 15
4x = 3x + 15 - 15
4x = 3x
Now, subtract 3x from both sides:
4x - 3x = 3x - 3x
x = 0
The equation simplifies to x = 0. Therefore, it has one solution: x = 0.