Solve the following equations and check your result.
$3 m = 5 m - \frac{8}{5}$

m = \frac{1}{2}

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m = \frac{12}{5}

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m = \frac{4}{5}

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m = \frac{7}{2}

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Solution

The correct option is C $m = \frac{4}{5}$
$G i v e n, 3 m = 5 m - \frac{8}{5} \Rightarrow 3 m - 5 m = - \frac{8}{5} [T r a n s p o s i n g 5 m t o L H S] \Rightarrow - 2 m = - \frac{8}{5} \Rightarrow m = \frac{8}{2 \times 5} [O n c r o s s - m u l t i p l i c a t i o n] \Rightarrow m = \frac{4}{5}$

Check:
LHS = $3 m = 3 \times \frac{4}{5} = \frac{12}{5}$
RHS = $5 m - \frac{8}{5} = 5 \times \frac{4}{5} - \frac{8}{5} = \frac{20}{5} - \frac{8}{5} = \frac{12}{5}$
Clearly, LHS = RHS
Hence checked!!

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