Solve for x
x
to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15
4
x
=
3
(
x
+
5
)
−
15
(1 point)
Responses
4x = 3(x+5) - 15
Distribute the 3 to the terms inside the parentheses:
4x = 3x + 15 - 15
Combine like terms:
4x = 3x
Subtract 3x from both sides:
x = 0
The equation has one solution, x = 0.
To solve for x in the equation 4x = 3(x+5) - 15, first distribute the 3 to the terms inside the parentheses.
4x = 3x + 15 - 15
Combine like terms:
4x = 3x
Next, subtract 3x from both sides:
4x - 3x = 3x - 3x
x = 0
Therefore, the value of x that solves the equation is x = 0.
Since there is one unique solution for x, the equation does not have infinite solutions or no solution.