1/5x-1/3(x-4)=1/2(x+1)

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Solution for 1/5x-1/3(x-4)=1/2(x+1) equation: 


x in (-oo:+oo)

(1/5)*x-((1/3)*(x-4)) = (1/2)*(x+1) // - (1/2)*(x+1)

(1/5)*x-((1/3)*(x-4))-((1/2)*(x+1)) = 0

(-1/3)*(x-4)+(-1/2)*(x+1)+(1/5)*x = 0

x/5-1/3*(x-4)-1/2*(x+1) = 0

(-1/3*5*(x-4))/5+(-1/2*5*(x+1))/5+x/5 = 0

x-1/3*5*(x-4)-1/2*5*(x+1) = 0

x-25/6*x+25/6 = 0

25/6-19/6*x = 0

(25/6-19/6*x)/5 = 0

(25/6-19/6*x)/5 = 0 // * 5

25/6-19/6*x = 0

25/6-19/6*x = 0 // - 25/6

-19/6*x = -25/6 // : -19/6

x = -25/6/(-19/6)

x = 25/19

x = 25/19

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