How do you solve #36/54=(2x)/6#?

1 Answer
Aug 9, 2016

The answer is #x=2#.

Explanation:

#36/54=(2x)/6#

Simplify #36/54#.

#9# goes evenly into both #36# and #54#.

#(36/9)/(54/9)=(2x)/6#

Simplify.

#4/6=(2x)/6#

Simplify #4/6# to #2/3#.

#2/3=(2x)/6#

Simplify #(2x)/6# to #x/3#

#2/3=x/3#

Multiply both sides of the equation by #3#.

#cancel(3)xx2/cancel(3)=x/cancel(3)xxcancel(3)#

Simplify.

#2=x#

Switch sides.

#x=2#