Solution of the equation $6 (3 x + 1) - 5 (6 x - 1) = 6 (x - 3) - 5 (7 x - 6) + 12 x$ is __________.

- 1

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0.2

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Solution

The correct option is D $0.2$
Given, $6 (3 x + 1) - 5 (6 x - 1) = 6 (x - 3) - 5 (7 x - 6) + 12 x$

$\Rightarrow 18 x + 6 - 30 x + 5 = 6 x - 18 - 35 x + 30 + 12 x$ ...[By Distribution Law]

$\Rightarrow (18 - 30 - 6 + 35 - 12) x = 30 - 18 - 6 - 5$ ...[Transposing $x$ terms to one side]

$\Rightarrow 5 x = 1$

$\Rightarrow x = 0.2$ .

Hence, option $D$ is correct.

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