How do you solve #2/(3w)=2/15+12/(5w)#?

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Answer 1 · 2016-12-18T22:10:42

#w=-13#

#color(green)([2/(3w)color(red)(xx1)] =[2/15color(red)(xx1)]+[12/(5w)color(red)(xx1)]#

#color(green)([2/(3w)color(red)(xx5/5)] =[2/15color(red)(xxw/w)]+[12/(5w)color(red)(xx3/3)]#

#10/(15w)=(2w)/(15w)+36/(15w)#

Multiply both sides by #15w#

#10=2w+36#

Subtract 36 from both sides

#-26=2w#

Divide both sides by 2

#-26/2=w#

#w=-13#