(x-1)/3+(2x+5)/4=(3x-4)/2-(x-6)/3

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Solution for (x-1)/3+(2x+5)/4=(3x-4)/2-(x-6)/3 equation:


x in (-oo:+oo)

(x-1)/3+(2*x+5)/4 = (3*x-4)/2-((x-6)/3) // - (3*x-4)/2-((x-6)/3)

(x-1)/3+(2*x+5)/4-((3*x-4)/2)+(x-6)/3 = 0

(x-1)/3+(2*x+5)/4+(-1*(3*x-4))/2+(x-6)/3 = 0

(2*4*(x-1))/(2*3*4)+(2*3*(2*x+5))/(2*3*4)+(-1*3*4*(3*x-4))/(2*3*4)+(2*4*(x-6))/(2*3*4) = 0

2*4*(x-1)+2*3*(2*x+5)-1*3*4*(3*x-4)+2*4*(x-6) = 0

20*x-36*x+8*x-48+22+48 = 0

8*x-16*x-48+70 = 0

22-8*x = 0

(22-8*x)/(2*3*4) = 0

(22-8*x)/(2*3*4) = 0 // * 2*3*4

22-8*x = 0

22-8*x = 0 // - 22

-8*x = -22 // : -8

x = -22/(-8)

x = 11/4

x = 11/4

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