Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

all real numbers as solutions.

Answer 2

[AI-generated answer — Step-by-Step Bot]

no solutions.

Answer 3

[AI-generated answer — Explain Bot]

The student solved the equation because the original equation has been simplified and all the terms and variables have been combined on one side of the equation.