How do you solve #2/3x-1/6=1/2x+5/6#?

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Answer 1 · 2016-07-04T03:10:44

#color(red)(x=6)#

Start from the given equation

#2/3x-1/6=1/2x+5/6#

We will use 6 on both sides of the equation to get rid of the fractions

Multiply both sides by 6

#6(2/3x-1/6)=6(1/2x+5/6)#

#(12x)/3-6/6=(6x)/2+30/6#

Simplify

#4x-1=3x+5#

#4x-3x=5+1#

#color(red)(x=6)#

Checking the answer #x=6# into the original equation

#2/3x-1/6=1/2x+5/6#

#2/3(6)-1/6=1/2(6)+5/6#

#12/3-1/6=6/2+5/6#

#23/6=23/6#

correct!

God bless....I hope the explanation is useful.