How do you solve #\frac { 4x } { 9} = \frac { 2( x + 4) } { 3}#?

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Answer 1 · 2017-03-29T11:55:16

#x=-12#

#(4x)/9=(2(x+4))/3=?#

#(cancel(4)x)/cancel(9)=(cancel(2)(x+4))/cancel(3)#

#(2x)/3=x+4#

#2x=3(x+4)#

#2x=3x+12#

#2x-3x=12#

#-x=12#

#x=-12#

Answer 2 · 2018-08-06T03:08:57

#x=-12#

We can cross multiply to now obtain the equation

#18(x+4)=12x#

Next, we can distribute the #18# on the left to get

#18x+72=12x#

Next, we can subtract #12x# and #72# from both sides. We get

#6x=-72#

Lastly, we can divide both sides by #6# to get

#x=-12#

Hope this helps!