Justify why −12(x−3)−52=−16 has one solution, infinitely many solutions, or no solution.(1 point)

Responses

It has one solution, because the solution is in the form x=a. The solution is x=−12 .

It has no solution because the solution is in the form a=b.

It has infinitely many solutions because the solution is in the form a=a.

It has one solution because the solution is in the form x=a. The solution is x=0.

The correct justification is: It has one solution, because when simplifying the equation, we get -12x + 36 - 52 = -16, which further simplifies to -12x - 16 = -16. By adding 16 to both sides and dividing by -12, we find that x = 0. Hence, there is only one solution to the equation.