How do you solve #\frac { 3n } { 4} - \frac { 1} { 3} = \frac { 2n - 1} { 6}#?

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Answer 1 · 2016-10-19T07:35:57

#n=2/5#

#(3n)/4-1/3=(2n-1)/6#

Simplify the left side by combining the two.

#(9n-4)/12=(2n-1)/6#

Multiply both sides by 12.

#9n-4 = 2(2n-1)#

Open the brackets on the right.

#9n-4=4n-2#

Shift the factors.

#9n-4n=-2+4#

#5n=2#

#n=2/5#

Answer 2 · 2016-10-19T07:42:47

#n=2/5#

#(3n)/4 -1/3=(2n-1)/6#

#3/3*(3n)/4 -4/4*1/3=2/2*(2n-1)/6#

#(9n)/12-4/12=(2(2n-1))/12#

#cancel(1/12)(9n-4)=cancel(1/12)(4n-2)#

#9n-4=4n-2#

#9n-4n=-2+4#

#5n=2#

#n=2/5#