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Question

Simplify: 7−9[x−5(x+2)]=25−9[x−3(8−x)].

A
2
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B
3
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C
4
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D
1
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Solution

The correct option is A 2
Given, 79[x5(x+2)]=259[x3(8x)].

Simplifying both sides separately, we get:

LHS =79[x5(x+2)]
=79x+45(x+2) ...[By Distribution Law]
=79x+45x+90 ...[By Distribution Law]
=36x+97.

RHS =259[x3(8x)]
=259x+27(8x) ...[By Distribution Law]
=259x+21627x ...[By Distribution Law]
=24136x.

Now, LHS=RHS
36x+97=24136x.

Transposing x terms to one side, we get,
36x+36x=24197
72x=144
x=2.

Hence, option A is correct.

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