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To solve the equation \( 3(x+2) - 6 = 3x \), we can start by simplifying the left side:
1. Distribute the 3:
\[
3(x+2) = 3x + 6
\]
Thus, the equation becomes:
\[
3x + 6 - 6 = 3x
\]
2. Simplifying gives:
\[
3x = 3x
\]
This shows that both sides of the equation are equal for all values of \( x \). Therefore, we have an identity, and this means that there are infinite solutions.
Thus, the correct answer is: **The equation has infinite solutions.**