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QuizMultiple Choice

Solving Linear Equations: Variables on Both Sides — Quiz

Question 2 • *KCPS Algebra I (2027)

What is the solution to the linear equation? 2 thirds x minus 1 half is equal to 1 third plus 5 sixths x

Answer
A
x is equal to negative 1 sixth
B
x is equal to 1 sixth
C
x is equal to 5
D
x is equal to negative 5

Explanation

Rewrite the equation as (2/3)x − 1/2 = 1/3 + (5/6)x. Subtract (2/3)x from both sides and subtract 1/3 from both sides: −5/6 = (1/6)x. Multiplying both sides by 6 gives x = −5, so the solution is choice D, x is equal to negative 5.

AI-written and checked against the verified answer.

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