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Solve for x to determine if the equation has one, none of infinite solutions

3 (x + 2) - 6 = 3x

1 answer

To solve the equation \(3 (x + 2) - 6 = 3x\), let's simplify and solve for \(x\).

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

  2. Combine like terms on the left side: \[ 3x + 6 - 6 = 3x \quad \Rightarrow \quad 3x = 3x \]

Now we see that the equation simplifies to \(3x = 3x\).

Since both sides of the equation are equal for all values of \(x\), this means that the equation has infinitely many solutions.

Thus, the final answer is:

  • The equation has infinitely many solutions.