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
Answer: No Solution
Based on the student’s work, the equation was solved
correctly or incorrectly
The equation solved correctly would show that it has
A. no solution
B. one solution
C. infinitely many solutions
D. two solution
Based on the student's work, the equation was solved correctly. The final equation they obtained was "8−3x=−3x−2", which simplifies to "8 = -2". Since this is a contradiction, this means that the equation has no solution.
Therefore, the answer is A. no solution.