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What’s the least common multiple of the denominators of 2/3x+1/6=-3/4x+1

User Jjpp
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2 Answers

3 votes
30/51 .................


User Tbodt
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4 votes

Answer:

x = 30/51

Explanation:


(2)/(3) x + (1)/(6) = - (3)/(4) x + 1 \\ (2)/(3) x + (3)/(4) x = 1 - (1)/(6) \\ (8)/(12) x + (9)/(12)x = (6)/(6) - (1)/(6) \\ (17)/(12) x = (5)/(6) \\ x = (5)/(6) * (12)/(17) \\ x = (60)/(102) \\ x = (30)/(51)

User Kartheepan
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