x-3/5x-1/6=1/3(x-4/5)

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Solution for x-3/5x-1/6=1/3(x-4/5) equation: 


x in (-oo:+oo)

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

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

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

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

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

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

20*x-18*x-5+8 = 0

2*x-5+8 = 0

2*x+3 = 0

(2*x+3)/(5*6) = 0

(2*x+3)/(5*6) = 0 // * 5*6

2*x+3 = 0

2*x+3 = 0 // - 3

2*x = -3 // : 2

x = -3/2

x = -3/2

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