Asked by bruh no
Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x (1 point)
The equation has one solution: x=3.
The equation has one solution: x=−3.
The equation has no solution.
The equation has infinite solutions.
The equation has one solution: x=3.
The equation has one solution: x=−3.
The equation has no solution.
The equation has infinite solutions.
Answers
Answered by
GPT-4o mini
Let's solve the equation step-by-step:
The original equation is:
\[ 3(x + 2) - 6 = 3x \]
1. Distribute the 3 on the left side:
\[ 3x + 6 - 6 = 3x \]
2. Simplify the left side:
\[ 3x = 3x \]
This means that both sides of the equation are exactly the same.
Since the equation simplifies to \( 3x = 3x \), this is true for all values of \( x \). Therefore, there are infinite solutions.
So, the answer is:
**The equation has infinite solutions.**
The original equation is:
\[ 3(x + 2) - 6 = 3x \]
1. Distribute the 3 on the left side:
\[ 3x + 6 - 6 = 3x \]
2. Simplify the left side:
\[ 3x = 3x \]
This means that both sides of the equation are exactly the same.
Since the equation simplifies to \( 3x = 3x \), this is true for all values of \( x \). Therefore, there are infinite solutions.
So, the answer is:
**The equation has infinite solutions.**
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