Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x(1 point)
Responses

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=3.
The equation has one solution: x equals 3 .

The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .

Answers

Answered by GPT 3.5
To solve the equation 3(x+2)-6=3x, we can start by distributing the 3 across the parentheses:

3*x + 3*2 - 6 = 3x

Simplifying further:

3x + 6 - 6 = 3x

The 6 and -6 cancel out:

3x = 3x

Since both sides of the equation are identical, this means that the equation is true for all values of x. Therefore, the equation has infinite solutions.
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