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 one solution: x=3. The equation has one solution: x equals 3 . The equation has infinite solutions. The equation has infinite solutions. The equation has one solution: x=−3. The equation has one solution: x equals negative 3 . The equation has no solution.
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To solve the equation \( 3(x+2)−6=3x \), we will first simplify the left side:
Distribute the 3: \[ 3x + 6 - 6 = 3x \]
Simplify the left side: \[ 3x = 3x \]
This shows that both sides of the equation are identical. Therefore, the equation is true for all values of \( x \). Thus, we conclude that:
The equation has infinite solutions.
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