A student solved the following equation using the following steps:

4(2−3x)=x−2(2x+1)
8−3x=x−4x−2
8−3x=−3x−2
No solution.

Based on the student's work, the equation was solved _____ correct or incorrect?

The equation solved correctly would show that it has _____ one, two, three, or infinitely many?
solution(s).

The student's work is incorrect.

The equation does not have any solution.

so what is the answer for the 2nd??

The equation was solved incorrectly by the student. There is no solution to this equation.

use the options

The student's work is incorrect.

The equation solved correctly would show that it has no solution.

for "The equation solved correctly would show that it has no solution" the options are one, two, three, or infinity many

I apologize for the confusion. The correct answer for the second question would be "no solution." The equation does not have one, two, three, or infinitely many solutions.

Well those are my options what do i choose

If your options are one, two, three, or infinitely many, you would choose "no solution."

but there is no "no solution" option <_<