solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15(1 point)
The equation has one solution: x=−10.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x=0.
To solve for x, we can start by simplifying both sides of the equation:
4x = 3(x + 5) - 15
Using the distributive property, we can expand the expression on the right side:
4x = 3x + 15 - 15
Simplifying further:
4x = 3x
To solve for x, we will subtract 3x from both sides:
4x - 3x = 3x - 3x
This gives us:
x = 0
Therefore, the equation has one solution: x = 0.
To determine if the equation has one, none, or infinite solutions, we need to simplify the equation and solve for x.
Let's start by distributing the 3 and -15 on the right side of the equation:
4x = 3x + 15 - 15
Simplifying further:
4x = 3x
Now, we want to isolate the x variable on one side of the equation. We can do this by subtracting 3x from both sides:
4x - 3x = 0
Simplifying further:
x = 0
Therefore, the equation has one solution: x = 0.
To determine if the equation has one, none, or infinite solutions, we need to solve the equation 4x = 3(x + 5) - 15 for x.
First, let's simplify the equation. Distribute the 3 to the terms inside the parentheses:
4x = 3x + 15 - 15
Combining like terms gives us:
4x = 3x
Now, let's isolate x. Subtract 3x from both sides of the equation:
4x - 3x = 0
Simplifying further:
x = 0
Now we have found the value of x, which is 0.
Therefore, the equation has one solution: x = 0.