Question

$x - 2 \div x - 4 = x + 4 \div x - 2$
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Answer 1

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$x - 2 \div x - 4 = x + 4 \div x - 2$

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$\frac{x - 2}{x - 4} = \frac{x + 4}{x - 2}$

$➞ {(x - 2)}^{2} = (x - 4)(x + 4)$

$➞ {x}^{2} + {2}^{2} - 2(x)(2) = {x}^{2} - {4}^{2}$

$➞ {x}^{2} + 4 - 4x = {x}^{2} - 16$

$➞ 4 - 4x = - 16$

$➞ - 4x = - 12$

$➞x = 3$

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