How do you solve #\frac{1}{12} = \frac{3}{2} x - 1+ \frac{2}{3} x#?

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Answer 1 · 2016-09-20T14:43:21

equalize denominators and then solve the equation

#1/12 = (3x)/2 - 3/3 + (2x)/3#

#1/12 = (9x)/6 - 6/6 + (4x)/6#

#1/12 = (18x)/12 -12/12 + (8x)/12#

#1/12 = (26x-12)/12#

#1 = 26x - 12#

#26x = 13#

#x = 13 / 26#

#x = 1 / 2#