Let's solve the equation step by step:
3(x+2) - 6 = 3x
First, distribute the 3 to the terms inside the parentheses:
3x + 6 - 6 = 3x
Combine like terms:
3x + 0 = 3x
Simplify further:
3x = 3x
Notice that both sides of the equation are equal, meaning that any value of x will satisfy the equation. Therefore, the equation has infinite solutions.
Answer: D. the equation has infinite solutions
Solve for x to determine if the equation has one, none, or infinite solutions. 3(x+2)−6=3x
A. the equation has one solution: x = 3
B. the equation has one solution: x = -3
C. the equation has no solution
D. the equation has infinite solutions
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