(1/5x)-1/6(x-9)=6x

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Solution for (1/5x)-1/6(x-9)=6x equation: 


x in (-oo:+oo)

(1/5)*x-((1/6)*(x-9)) = 6*x // - 6*x

(1/5)*x-((1/6)*(x-9))-(6*x) = 0

(-1/6)*(x-9)+(1/5)*x-6*x = 0

x/5-1/6*(x-9)-6*x = 0

(-1/6*5*(x-9))/5+x/5+(-6*5*x)/5 = 0

x-1/6*5*(x-9)-6*5*x = 0

1/6*x-30*x+15/2 = 0

15/2-179/6*x = 0

(15/2-179/6*x)/5 = 0

(15/2-179/6*x)/5 = 0 // * 5

15/2-179/6*x = 0

15/2-179/6*x = 0 // - 15/2

-179/6*x = -15/2 // : -179/6

x = -15/2/(-179/6)

x = 45/179

x = 45/179

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