How do you solve $1/(2x) + 2/x = 1/8$ ?

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Answer 1 · 2017-01-30T14:44:02

$"the answer is x=20"$

$"given : "1/(2x)+2/(x)=1/8$

$color(red)(4/4)*1/(2x)+color(blue)(8/8).2/x=color(green)(x/x)*1/8$

$4/(8x)+16/(8x)=x/(8x)$

$4/cancel((8x))+16/cancel((8x))=x/cancel((8x))$

$4+16=x$

$x=20$

Answer 2 · 2017-01-30T15:12:49

$x=20$

$1/(2x)+2/x=1/8$

$:.(8+32=2x)/(16x)$

$:.8/(16x)+32/(16x)=(2x)/(16x)$

$:.8+32=2x$

$:.2x=40$

$:.x=20$

substitute x = 20

$:.1/(2(20))+2/20=1/8$

$:.((1+4)=5)/40$

$:.1/40+4/40=5/40$

$:.5/40=5/40$
or
$1/8=1/8$

How do you solve 1/(2x) + 2/x = 1/81/(2x) + 2/x = 1/8?