A student solved an equation, as shown below.

1/4(-12x)=x-2(2x+1)
2-3x=x-4x+2
2-3x=3x+2
2-3x+3x=-3x+3x+2
2=2
Based on the student's work, complete the statement below.

Use the drop-down menus to make the statement below true.

The student solved the equation_____because the original equation has _____.

The student solved the equation incorrectly because the original equation has no solution.