3x/2-x/3=5(x-4/6)

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Solution for 3x/2-x/3=5(x-4/6) equation: 


x in (-oo:+oo)

(3*x)/2-(x/3) = 5*(x-(4/6)) // - 5*(x-(4/6))

(3*x)/2-(5*(x-(4/6)))-(x/3) = 0

(3*x)/2-5*(x-2/3)-(x/3) = 0

(3*x)/2-5*(x-2/3)-x/3 = 0

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

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

20-21*x-2*x = 0

20-23*x = 0

(20-23*x)/(2*3) = 0

(20-23*x)/(2*3) = 0 // * 2*3

20-23*x = 0

20-23*x = 0 // - 20

-23*x = -20 // : -23

x = -20/(-23)

x = 20/23

x = 20/23

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