How do you evaluate #\frac{1}{x+6}=\frac{3}{4x}#?

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Answer 1 · 2016-12-08T06:10:43

#x=18#

#1/(x+6)=3/(4x)#

Multiply both sides by #4x#.

#(4x)/(x+6)=cancel(4x)xx3/cancel(4x)#

Multiply both sides by #(x+6)#.

#cancel((x+6))xx(4x)/cancel((x+6))=3(x+6)#

Open the brackets and simplify.

#4x=3x+18#

Subtract #3x# from both sides.

#x=18#