If $\frac{10 - 3 x}{5 + 2 x} = \frac{m}{n}$ ; make 'x' as the subject of formula. Hence, find the value of x, if $3 m - 411 = 2$ and $n = 2.5$ .

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Solution

Given, $\frac{10 - 3 x}{5 + 2 x} = \frac{m}{n}$
$=> 10 n - 3 n x = 5 m + 2 m x$
$=> 10 n - 5 m = 2 m x + 3 n x$
$=> 5 (2 n - m) = (2 m + 3 n) x$
$=> x = \frac{5 (2 n - m)}{2 m + 3 n}$

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\frac{10 - 3 x}{5 + 2 x} = \frac{m}{n}

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