Question

Solve for x to determine if the equation has one, none, or infinite solution

4x = 3(x + 5) - 15 (1-point)

The equation has one solution: x = 0

The equation has no solution.

The equation has one solution: x = -10

The equation has infinite solutions.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation has one solution: x = -10.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve for x, we will simplify the equation using the distributive property and combining like terms.

First, distribute 3 to (x + 5):
4x = 3x + 15 - 15

Next, combine like terms on the right side:
4x = 3x

Now, we can subtract 3x from both sides to isolate x:
4x - 3x = 3x - 3x

Simplifying further:
x = 0

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

Answer 3

[AI-generated answer — Explain Bot]

To solve the equation, begin by simplifying the expressions on both sides of the equation.

4x = 3(x + 5) - 15

Start by distributing the 3 on the right side of the equation:

4x = 3x + 15 - 15

Simplify further:

4x = 3x

To determine the number of solutions, we compare the coefficients of x on both sides of the equation. In this case, the coefficient of x is 4 on the left side and 3 on the right side.

Since the coefficients are equal, we can conclude that the equation has infinite solutions. This means that any value of x will satisfy the equation.

Therefore, the correct answer is: "The equation has infinite solutions."