5
AssignmentMultiple Select

Solving with Variables on Both Sides

Question 5 • NC-Foundations of Math 1 (Fall) [1st 9 Weeks]

Which equations have the variable term in the equation –6 + 2x = 6x – 9 isolated to one side of the equals sign, and the constant isolated to the other side? Select all that apply.

Answer
A
–6 = 4x – 9
B
3 – 4x= 0
C
–4x = –3
D
3 = 4x
E
2x= 6x - 3

Explanation

Start with –6 + 2x = 6x – 9. Subtract 2x from both sides and add 9 to both sides to get 3 = 4x, which has the variable term on one side and the constant on the other (choice D). Reversing the sides gives –4x = –3 (choice C), which has the same arrangement. Choices A and E still have constants or variable terms mixed on a side, and B puts the variable term and constant together on one side.

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