Solve the following linear equations:
$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

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Solution

Consider the given equation.
$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$
$\frac{5 x - 2}{10} = \frac{4 x + 3}{12}$
$60 x - 24 = 40 x + 30$
$20 x = 54$
$x = \frac{27}{10}$

Hence, this is the answer.

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\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}

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