Question

Solve for x
to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x
(1 point)

The equation has one solution: x=3
.

The equation has one solution: x=−3
.

The equation has infinite solutions.

The equation has no solution.

Answer 1

3(x+2)−6 = 3x
Expand left: 3x + 6 − 6 = 3x → 3x = 3x, which is true for every x.
Therefore the equation has infinite solutions.