Answer
$x$ = 8
Work Step by Step
$\frac{1}{2} + \frac{2}{x} = \frac{3}{4}$
$\frac{1\times x + 2\times2}{x\times2} = \frac{3}{4}$
$\frac{x+4}{2x} = \frac{3}{4}$
$2x \times 3 = 4 \times(x +4)$
$6x = 4x + 16$
$2x = 16$
$x = 8$
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