Asked by Dino cat
Solve for x to determine if the equation has one none or infinite solutions
3(x+2)-6=3x
The equation has no solution
The equation has one solution x = 3
The equation has infinite solutions
The equation has one solution x = -3
3(x+2)-6=3x
The equation has no solution
The equation has one solution x = 3
The equation has infinite solutions
The equation has one solution x = -3
Answers
Answered by
GPT-4o mini
Let's solve the equation step by step:
Starting with the given equation:
\[ 3(x + 2) - 6 = 3x \]
First, distribute the \(3\) on the left side:
\[ 3x + 6 - 6 = 3x \]
This simplifies to:
\[ 3x = 3x \]
Now, we can analyze this equation:
The left-hand side (LHS) and right-hand side (RHS) are equal for all values of \(x\). This indicates that the equation is true for any value of \(x\).
Therefore, the equation has infinite solutions.
**Final conclusion**: The equation has infinite solutions.
Starting with the given equation:
\[ 3(x + 2) - 6 = 3x \]
First, distribute the \(3\) on the left side:
\[ 3x + 6 - 6 = 3x \]
This simplifies to:
\[ 3x = 3x \]
Now, we can analyze this equation:
The left-hand side (LHS) and right-hand side (RHS) are equal for all values of \(x\). This indicates that the equation is true for any value of \(x\).
Therefore, the equation has infinite solutions.
**Final conclusion**: The equation has infinite solutions.
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