(x-2)/3-(12-x)/2=(5x-36)/4-1

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Solution for (x-2)/3-(12-x)/2=(5x-36)/4-1 equation:


x in (-oo:+oo)

(x-2)/3-((12-x)/2) = (5*x-36)/4-1 // - (5*x-36)/4-1

(x-2)/3-((12-x)/2)-((5*x-36)/4)+1 = 0

(x-2)/3+(-1*(12-x))/2+(-1*(5*x-36))/4+1 = 0

(2*4*(x-2))/(2*3*4)+(-1*3*4*(12-x))/(2*3*4)+(-1*2*3*(5*x-36))/(2*3*4)+(1*2*3*4)/(2*3*4) = 0

2*4*(x-2)-1*3*4*(12-x)-1*2*3*(5*x-36)+1*2*3*4 = 0

20*x-30*x-160+24+216 = 0

24-10*x+56 = 0

80-10*x = 0

(80-10*x)/(2*3*4) = 0

(80-10*x)/(2*3*4) = 0 // * 2*3*4

80-10*x = 0

80-10*x = 0 // - 80

-10*x = -80 // : -10

x = -80/(-10)

x = 8

x = 8

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