(x-1)/2-(x-2)/3-(x-3)/4=-(x-5)/5

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Solution for (x-1)/2-(x-2)/3-(x-3)/4=-(x-5)/5 equation:


x in (-oo:+oo)

(x-1)/2-((x-2)/3)-((x-3)/4) = -((x-5)/5) // + (x-5)/5

(x-1)/2-((x-2)/3)-((x-3)/4)+(x-5)/5 = 0

(x-1)/2+(-1*(x-2))/3+(-1*(x-3))/4+(x-5)/5 = 0

(3*4*5*(x-1))/(2*3*4*5)+(-1*2*4*5*(x-2))/(2*3*4*5)+(-1*2*3*5*(x-3))/(2*3*4*5)+(2*3*4*(x-5))/(2*3*4*5) = 0

3*4*5*(x-1)-1*2*4*5*(x-2)-1*2*3*5*(x-3)+2*3*4*(x-5) = 0

20*x-30*x+24*x-120+20+90 = 0

24*x-10*x-120+110 = 0

14*x-10 = 0

(14*x-10)/(2*3*4*5) = 0

(14*x-10)/(2*3*4*5) = 0 // * 2*3*4*5

14*x-10 = 0

14*x-10 = 0 // + 10

14*x = 10 // : 14

x = 10/14

x = 5/7

x = 5/7

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