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Reducing Equations to Simpler Form

Solve for x:x...

Question

Solve for x:
$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

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Solution

$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$
$\Rightarrow \frac{x}{2} - \frac{x}{3} = \frac{1}{4} + \frac{1}{5}$
$\Rightarrow \frac{3 x - 2 x}{6} = \frac{5 + 4}{20}$
$\Rightarrow \frac{x}{6} = \frac{9}{20}$
$\Rightarrow x = \frac{9 \times 6}{20} = \frac{27}{10}$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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