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

Answer 1

Let's solve the equation step by step:

1. Start with the original equation: \[ 3(x + 2) - 6 = 3x \]

2. Distribute the \(3\) on the left side: \[ 3x + 6 - 6 = 3x \]

3. Simplify the left side: \[ 3x = 3x \]

Now we see that both sides of the equation are equal. This means the equation is true for all values of \(x\).

Therefore, the equation has infinite solutions.