Question

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

3(x+2)−6=3x(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's solve for x:

3(x+2) - 6 = 3x

Distribute 3 to both terms inside the parentheses:

3x + 6 - 6 = 3x

Combine like terms:

3x = 3x

We can see that the equation does not contain any variable terms, as both sides of the equation are already equal to each other. Therefore, the equation has infinite solutions.

Answer 2

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

To solve the equation 3(x + 2) - 6 = 3x, we will simplify the equation step by step:

1. Distribute 3 to terms inside the parentheses:
3 * x + 3 * 2 - 6 = 3x
3x + 6 - 6 = 3x

2. Simplify the equation:
3x = 3x

The equation 3x = 3x indicates that the variable x is eliminated on both sides, resulting in an identity.

Since the equation is an identity, it means that any value of x will satisfy the equation, and therefore it has an infinite number of solutions.