To solve the equation \( 3(x + 2) - 6 = 3x \), we'll first simplify and solve for \( x \).
- Distribute \( 3 \) on the left side:
\[ 3x + 6 - 6 = 3x \]
- This simplifies to:
\[ 3x = 3x \]
Now, we can analyze the equation. Since both sides of the equation are identical (\(3x = 3x\)), this means that the equation is true for any value of \( x \).
Conclusion
Since the equation simplifies to a true statement without any restrictions on \( x \), this means that there are infinite solutions.