If $0.18 (5 x - 4) = 0.5 x + 0.8$ , then the value of $x$ is:

3 \frac{3}{5}

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3 \frac{4}{5}

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3 \frac{2}{5}

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\frac{4}{5}

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Solution

The correct option is A $3 \frac{4}{5}$
Given, $0.18 (5 x - 4) = 0.5 x + 0.8$ .
$\Rightarrow$ $0.90 x - 0.72 = 0.5 x + 0.8$ ...[By Distribution Law].

Transposing $x$ terms to one side, we get,
$\Rightarrow$ $0.90 x - 0. 5 x = 0.8 + 0.72$
$\Rightarrow$ $0.40 x = 1.52$
$\Rightarrow$ $x = \frac{1.52}{0.40} = \frac{19}{5} = 3 \frac{4}{5}$ .

Hence, option $B$ is correct.

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