((x-2)/4)-((x+5)/6)=((5x-2)/9)

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Solution for ((x-2)/4)-((x+5)/6)=((5x-2)/9) equation: 


x in (-oo:+oo)

(x-2)/4-((x+5)/6) = (5*x-2)/9 // - (5*x-2)/9

(x-2)/4-((x+5)/6)-((5*x-2)/9) = 0

(x-2)/4+(-1*(x+5))/6+(-1*(5*x-2))/9 = 0

(6*9*(x-2))/(4*6*9)+(-1*4*9*(x+5))/(4*6*9)+(-1*4*6*(5*x-2))/(4*6*9) = 0

6*9*(x-2)-1*4*9*(x+5)-1*4*6*(5*x-2) = 0

18*x-120*x-288+48 = 0

-102*x-240 = 0

(-102*x-240)/(4*6*9) = 0

(-102*x-240)/(4*6*9) = 0 // * 4*6*9

-102*x-240 = 0

-102*x-240 = 0 // + 240

-102*x = 240 // : -102

x = 240/(-102)

x = -40/17

x = -40/17

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