7/9x-2(1/3x-5/24)=4/5(31/3-5/9x)-3/4(4/9x-3/2)

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Solution for 7/9x-2(1/3x-5/24)=4/5(31/3-5/9x)-3/4(4/9x-3/2) equation: 


x in (-oo:+oo)

(7/9)*x-(2*((1/3)*x-(5/24))) = (4/5)*(31/3-((5/9)*x))-((3/4)*((4/9)*x-(3/2))) // - (4/5)*(31/3-((5/9)*x))-((3/4)*((4/9)*x-(3/2)))

(3/4)*((4/9)*x-(3/2))-(2*((1/3)*x-(5/24)))-((4/5)*(31/3-((5/9)*x)))+(7/9)*x = 0

(-4/5)*((-5/9)*x+31/3)-2*((1/3)*x-5/24)+(3/4)*((4/9)*x-3/2)+(7/9)*x = 0

3/4*(4/9*x-3/2)-2*(1/3*x-5/24)-4/5*(31/3-5/9*x)+(7*x)/9 = 0

(-2*9*(1/3*x-5/24))/9+(-4/5*9*(31/3-5/9*x))/9+(3/4*9*(4/9*x-3/2))/9+(7*x)/9 = 0

3/4*9*(4/9*x-3/2)-2*9*(1/3*x-5/24)-4/5*9*(31/3-5/9*x)+7*x = 0

3*x-2*x+7*x-1413/20-81/8 = 0

x+7*x-3231/40 = 0

8*x-3231/40 = 0

(8*x-3231/40)/9 = 0

(8*x-3231/40)/9 = 0 // * 9

8*x-3231/40 = 0

8*x-3231/40 = 0 // + 3231/40

8*x = 3231/40 // : 8

x = 3231/40/8

x = 3231/320

x = 3231/320

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