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Question

Solve the equation: 27(x+8)4=3(x3)532.

A
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B
0
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C
17111
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D
37119
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E
222119
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Solution

The correct option is E 222119
Given, 27(x+8)4=3(x3)532

87x5628=6x181510 …[Taking LCM of the denominators]

7x4814=6x335 ...[On simplifying]

5(7x48)=14(6x33) …[Cross-multiplying the denominators]

35x240=84x462 ...[By Distribution Law].

Transposing x terms to one side, we get,
35x84x=462+240

119x=222

x=222119.

Hence, option E is correct.

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