Question

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

6(2x+4)−24=12x


(1 point)

The equation has no solution.

The equation has one solution: x=−20
.

The equation has infinite solutions.

The equation has one solution: x=0
.

Answer 1

6(2x+4)−24 = 12x
Expand left: 12x + 24 − 24 = 12x
So 12x = 12x, which is true for every x.

Therefore the equation has infinite solutions.