Solve for x to determine if the equation has one, none, or infinite solutions. %0D%0A4x=3(x+5)−15(1 point)%0D%0AResponses%0D%0A%0D%0AThe equation has one solution: x=−10.%0D%0AThe equation has one solution: x equals negative 10 .%0D%0A%0D%0AThe equation has infinite solutions.%0D%0AThe equation has infinite solutions.%0D%0A%0D%0AThe equation has one solution: x=0.%0D%0AThe equation has one solution: x equals 0 .%0D%0A%0D%0AThe equation has no solution.

1 answer

To solve the equation 4x = 3(x+5) - 15, we need to simplify both sides of the equation and then solve for x.

On the right side of the equation, we distribute the 3 to (x+5), giving us:

4x = 3x + 15 - 15

Simplifying further, we have:

4x = 3x

Now, we want to isolate x. We can subtract 3x from both sides of the equation:

4x - 3x = 0

x = 0

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