A student solved an equation, as shown below.

The first line shows 1 over 4 left Parenthesis 8 minus 12x right parenthesis equals x minus 2 left parenthesis 2x plus 1 right parenthesis, second line shows 2 minus 3x equals x minus 4x plus 2, third line shows 2 minus 3x equals 3x plus 2, fourth line shows 2 minus 3x plus 3x equals negative 3x plus 3x plus 2. Fifth line shows 2 equals 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 ​____
.

3 answers

The student solved the equation correctly
because the original equation has the same value on both sides.
are you sure
Apologies for the confusion.

Based on the student's work, the statement should be:

The student solved the equation incorrectly because the original equation does not simplify to a true statement on both sides.
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