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

Question

1512 views around the world

You can reuse this answer
Creative Commons License

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#