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Question

Solve the linear equation:
5x+1122=3x19

A
x=2316
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B
x=158
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C
x=176
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D
x=653
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Solution

The correct option is B x=653
Wehave,5x+1122=3x195x+12412=3x19[TakingLCMonLHS]5x2312=3x199(5x23)=12(3x1)[Bycrossmultiplication]3(5x23)=4(3x1)[Ondividingbothsidesby3]15x69=12x415x12x=4+69[Transposing12xtoLHSand69toRHS]3x=65x=653

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