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

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


a in (-oo:+oo)

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

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

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

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

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

24-108*a-48*a-48+252 = 0

24-156*a+204 = 0

228-156*a = 0

(228-156*a)/(2*3*4*6) = 0

(228-156*a)/(2*3*4*6) = 0 // * 2*3*4*6

228-156*a = 0

228-156*a = 0 // - 228

-156*a = -228 // : -156

a = -228/(-156)

a = 19/13

a = 19/13

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