solving a linear equation with several occurences of the variable : variables on both sides and fractional coefficients

6x - 2/3 = - 3/2 x + 7/4

simplify

6x + 3/2x = 7/4 + 2/3

12/2x +3/2x = 21/12 + 8/12

15/2x = 29/12

x = (29/12)(2/15)

x = 29/90

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