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Question

If (5x+3)8+3x4=9x+22, find x.

A
15
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B
5
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C
5
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D
15
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Solution

The correct option is A 15
Simplifying both sides of (5x+3)8+3x4=9x+22 separately, we get,

LHS =(5x+3)8+3x4×22=(5x+3)8+6x8 ....[Taking LCM]

=5x+3+6x8=11x+38.

RHS =9x+22

=9x+22×44=36x+88.

Now, equating LHS and RHS, we get,
11x+38=36x+88.

Multiplying both sides by 8,
11x+3=36x+8.

Transposing x terms to one side, we get,
36x11x=38

25x=5

x=525

x=15.

Hence, option A is correct.

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