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

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


x in (-oo:+oo)

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

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

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

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

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

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

13*x-16*x-30 = 0

-3*x-30 = 0

(-3*x-30)/(3*4) = 0

(-3*x-30)/(3*4) = 0 // * 3*4

-3*x-30 = 0

-3*x-30 = 0 // + 30

-3*x = 30 // : -3

x = 30/(-3)

x = -10

x = -10

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