8
QuizMultiple Choice

Solving with Variables on Both Sides — Quiz

Question 8 • Mathematics 8

Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 is equal to negative 2 x plus 10 ? Choose two correct answers.

Answer
A
negative 15 is equal to 5 x
B
x is equal to 5
C
x is equal to negative 5
D
5 x is equal to 15
E
negative 15 is equal to negative 5 x

Explanation

Starting with 3x − 5 = −2x + 10, add 2x to both sides and add 5 to both sides to get 5x = 15, which is choice D. Reversing the sides and multiplying both sides by −1 gives −15 = −5x, choice E. In each equation, the variable term is on one side and the constant is on the other.

AI-written and checked against the verified answer.

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