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

3(x+2)-6=3x

1 answer

To determine if the equation has one, none, or infinite solutions, we can solve for x and see what happens.

Begin by distributing the 3 to both terms inside the parentheses:
3x + 6 - 6 = 3x

Simplify:
3x = 3x

This equation shows that both sides are equal, which means that it holds true for any value of x.

Therefore, the equation has infinite solutions.