How do you solve #\frac { 3x } { 5} + \frac { 1} { 6} = \frac { x } { 2} - \frac { 1} { 3}#?

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Answer 1 · 2017-10-16T05:28:43

#x=(-5)#

#(3x)/5+1/6=x/2-1/3#

We take the LCM on both sides of the equation.

#(6(3x)+5(1))/30=(3x-2)/6#

Now multiply both sides of the equation by #30#

#(30(18x+5))/30=(30(3x-2))/6#

#(cancel30(18x+5))/cancel30=(color(red)5cancel30(3x-2))/cancel6#

#18x+5=color(red)5(3x-2)#

#18x+5=15x-10#

#18x-15x=-10-5#

#3x=-15#

Divide both sides by #3#

#x=(-5)#