(7x+4)/15+(x-1)/3=(3x-1)/5-(x+7)/10

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Solution for (7x+4)/15+(x-1)/3=(3x-1)/5-(x+7)/10 equation:


x in (-oo:+oo)

(7*x+4)/15+(x-1)/3 = (3*x-1)/5-((x+7)/10) // - (3*x-1)/5-((x+7)/10)

(7*x+4)/15+(x-1)/3-((3*x-1)/5)+(x+7)/10 = 0

(7*x+4)/15+(x-1)/3+(-1*(3*x-1))/5+(x+7)/10 = 0

(3*5*10*(7*x+4))/(3*5*10*15)+(5*10*15*(x-1))/(3*5*10*15)+(-1*3*10*15*(3*x-1))/(3*5*10*15)+(3*5*15*(x+7))/(3*5*10*15) = 0

3*5*10*(7*x+4)+5*10*15*(x-1)-1*3*10*15*(3*x-1)+3*5*15*(x+7) = 0

1800*x-1350*x+225*x-150+450+1575 = 0

450*x+225*x+300+1575 = 0

675*x+1875 = 0

(675*x+1875)/(3*5*10*15) = 0

(675*x+1875)/(3*5*10*15) = 0 // * 3*5*10*15

675*x+1875 = 0

675*x+1875 = 0 // - 1875

675*x = -1875 // : 675

x = -1875/675

x = -25/9

x = -25/9

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