(5(x-9))/4=(4(x+9))/5

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Solution for (5(x-9))/4=(4(x+9))/5 equation: 


x in (-oo:+oo)

(5*(x-9))/4 = (4*(x+9))/5 // - (4*(x+9))/5

(5*(x-9))/4-((4*(x+9))/5) = 0

(5*(x-9))/4+(-4/5)*(x+9) = 0

(5*(x-9))/4-4/5*(x+9) = 0

(5*(x-9))/4+(-4/5*4*(x+9))/4 = 0

5*(x-9)-4/5*4*(x+9) = 0

9/5*x-369/5 = 0

(9/5*x-369/5)/4 = 0

(9/5*x-369/5)/4 = 0 // * 4

9/5*x-369/5 = 0

9/5*x-369/5 = 0 // + 369/5

9/5*x = 369/5 // : 9/5

x = 369/5/9/5

x = 41

x = 41

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