(3x+5)/2-(4x-5)/3=(7x+1)/6-5

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Solution for (3x+5)/2-(4x-5)/3=(7x+1)/6-5 equation:


x in (-oo:+oo)

(3*x+5)/2-((4*x-5)/3) = (7*x+1)/6-5 // - (7*x+1)/6-5

(3*x+5)/2-((4*x-5)/3)-((7*x+1)/6)+5 = 0

(3*x+5)/2+(-1*(4*x-5))/3+(-1*(7*x+1))/6+5 = 0

(3*6*(3*x+5))/(2*3*6)+(-1*2*6*(4*x-5))/(2*3*6)+(-1*2*3*(7*x+1))/(2*3*6)+(2*3*5*6)/(2*3*6) = 0

3*6*(3*x+5)-1*2*6*(4*x-5)-1*2*3*(7*x+1)+2*3*5*6 = 0

6*x-42*x-6+150+180 = 0

144-36*x+180 = 0

324-36*x = 0

(324-36*x)/(2*3*6) = 0

(324-36*x)/(2*3*6) = 0 // * 2*3*6

324-36*x = 0

324-36*x = 0 // - 324

-36*x = -324 // : -36

x = -324/(-36)

x = 9

x = 9

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