Solve for $x$ : $12 - 9 x + 8 (- 3 - 9 x + 4) = 8$

\frac{4}{27}

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\frac{- 4}{27}

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\frac{27}{4}

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\frac{- 27}{4}

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Solution

The correct option is A $\frac{4}{27}$
Given, $12 - 9 x + 8 (- 3 - 9 x + 4) = 8$
$\Rightarrow 12 - 9 x + 8 (- 3) + 8 (- 9 x) + 8 (4) = 8$
$\Rightarrow 12 - 9 x - 24 - 72 x + 32 = 8$
Take constant numbers to RHS (transpose),
$\Rightarrow - 9 x - 72 x = 8 + 24 - 12 - 32$
$\Rightarrow - 81 x = 32 - 32 - 12$
$\Rightarrow x = \frac{- 12}{- 81}$
$\Rightarrow x = \frac{4}{27}$

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