(1/4)x-((1/5)(x-6))=5x

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Solution for (1/4)x-((1/5)(x-6))=5x equation: 


x in (-oo:+oo)

(1/4)*x-((1/5)*(x-6)) = 5*x // - 5*x

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

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

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

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

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

1/5*x-20*x+24/5 = 0

24/5-99/5*x = 0

(24/5-99/5*x)/4 = 0

(24/5-99/5*x)/4 = 0 // * 4

24/5-99/5*x = 0

24/5-99/5*x = 0 // - 24/5

-99/5*x = -24/5 // : -99/5

x = -24/5/(-99/5)

x = 8/33

x = 8/33

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