Students can combine like terms on the left side of the equation, resulting in 12x−3=6(x−3).
Given the equation solved by a student
10x−3+2x=6(x−3)
- The first step that the student could use to solve the expression correctly is to expand the bracket on the right-hand side of the equation using the distributive law as shown:
[tex]10x-3+2x=6(x-3)\\10x-3+2x=6x - 6(3)\\10x-3+2x=6x - 18\\[/tex]
- The student can also combine like terms on the left side of the equation, to give;
[tex]10x-3+2x=6(x-3). \\10x+2x-3=6(x-3)\\12x-3=6(x-3)[/tex]
Hence the correct option will be students can combine like terms on the left side of the equation, resulting in 12x−3=6(x−3).
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