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Question

Solve x23+3x55=5x76110

A
x=4
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B
x=8
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C
x=5
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D
x=12
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Solution

The correct option is A x=4
Given, x23+3x55=5x76110
Multiplying both sides of the given equation by 30 ....(LCM of 3,5,6 and 10), we get
10(x2)+6(3x5)=5(5x7)3×1
10x20+18x30=25x353
28x50=25x38
Transposing the terms, we get
28x25x=5038
3x=12
Dividing both sides by 3, we get
x=4

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