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

Answer 1

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

1. Distribute \( 3 \) on the left side:

\[ 3x + 6 - 6 = 3x \]

2. 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.