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Question

Solve for $x$ :
$\frac{1}{4 x} + \frac{1}{6 x} = \frac{1}{2 x} + \frac{3}{4}$

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Solution

Verified by Toppr

$\frac{1}{4 x} + \frac{1}{6 x} = \frac{1}{2 x} + \frac{3}{4}$
$\Rightarrow \frac{1}{x} (\frac{10}{24}) = \frac{4 + 6 x}{8 x}$ ${x \neq 0}$
$\Rightarrow \frac{5}{12} = \frac{3 x + 2}{4}$
$\Rightarrow 5 = 3 (3 x + 2)$
$\Rightarrow 5 = 9 x + 6$
$\Rightarrow x = \frac{- 1}{9}$ .

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