Find $x$ , if $3 (2 - x) = 4 (5 x + 6) + 9 (3 x - 4) + 6$ .

\frac{12}{50}

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\frac{12}{49}

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\frac{- 12}{49}

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\frac{- 12}{50}

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Solution

The correct option is C $\frac{12}{50}$
Given,
$3 (2 - x) = 4 (5 x + 6) + 9 (3 x - 4) + 6$
$⟹$ $6 - 3 x = 20 x + 24 + 27 x - 36 + 6$
$⟹$ $6 - 3 x = 47 x - 6$ .

Transposing $x$ term to one side, we get,
$⟹$ $47 x + 3 x = 6 + 6$
$⟹$ $50 x = 12$
$⟹$ $x = \frac{12}{50}$ .
Hence, option $A$ is correct.

Suggest Corrections

Age group	$0 - 9$	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$	$60 - 69$
No. of persons	$4$	$6$	$10$	$11$	$12$	$6$	$1$