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Question
Solve x−23+3x−55=5x−76−110
Solve x−23+3x−55=5x−76−110
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Solution
The correct option is A x=4
Given, x−23+3x−55=5x−76−110Multiplying both sides of the given equation by 30 ....(LCM of 3,5,6 and 10), we get10(x−2)+6(3x−5)=5(5x−7)−3×110x−20+18x−30=25x−35−328x−50=25x−38Transposing the terms, we get28x−25x=50−383x=12Dividing both sides by 3, we getx=4
Given, x−23+3x−55=5x−76−110
Multiplying both sides of the given equation by 30 ....(LCM of 3,5,6 and 10), we get
10(x−2)+6(3x−5)=5(5x−7)−3×1
10x−20+18x−30=25x−35−3
28x−50=25x−38
Transposing the terms, we get
28x−25x=50−38
3x=12
Dividing both sides by 3, we get
x=4
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