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=0.
The equation has one solution: x equals 0 .
The equation has no solution.
The equation has no solution.
The equation has infinite solutions.
The equation has infinite solutions.
The equation has one solution: x=−10.
To solve the equation 4x=3(x+5)-15, we will simplify both sides of the equation and then solve for x.
Starting with the left side of the equation:
4x
Now let's simplify the right side of the equation:
3(x+5)-15
3x+15-15
3x
Now we have:
4x=3x
To isolate x, we subtract 3x from both sides of the equation:
4x-3x=3x-3x
x=0
Therefore, the equation has one solution: x=0.