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

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


x in (-oo:+oo)

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

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

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

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

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

18*x-20*x+8 = 0

8-2*x = 0

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

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

8-2*x = 0

8-2*x = 0 // - 8

-2*x = -8 // : -2

x = -8/(-2)

x = 4

x = 4

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