Question

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

Answer:

$\large ( \frac{1}{x} + 2) + ( \frac{1}{x} - 2) = 2 \\ \\ \large ( \frac{1 + 2x}{x} ) + ( \frac{1 - 2x}{x} ) = 2 \\ \\ \large \frac{(1 + 2x) + (1 - 2x)}{x} = 2 \\ \\ \large (1 + 2x) + (1 - 2x) = 2x \\ \\ \large 1 \cancel{ + 2x} + 1 \cancel{ - 2x} = 2x \\ \\ \large 2 = 2x \\ \\ \large \frac{2}{2} = x \\ \\ \large \boxed{ \underline{ \underline{ 1}} = x}$