If $0.6 x + 0.8 = 0.28 x + 1.16$ , then $x =$

x = \frac{6}{7}

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x = \frac{9}{8}

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x = \frac{11}{2}

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x = \frac{13}{5}

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Solution

The correct option is A $x = \frac{9}{8}$
Given, $0.6 x + 0.8 = 0.28 x + 1.16$
or $0.6 x - 0.28 x = 1.16 - 0.8$ ...[Transposing 0.28x to LHS and 0.8 to RHS ]
or $0.32 x = 0.36$
$⟹ \frac{32 x}{100} = \frac{36}{100} ⟹ 32 x = 36 ⟹ x = \frac{36}{32} ⟹ x = \frac{9}{8} [D i v i d i n g n u m e r a t o r a n d d e n o m i n a t o r o n R H S b y 4]$

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