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

1 Answer
Dec 18, 2016

#w=-13#

Explanation:

#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#