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

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

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

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

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

4*x-2*x+20 = 0

2*x+20 = 0

(2*x+20)/(2*3) = 0

(2*x+20)/(2*3) = 0 // * 2*3

2*x+20 = 0

2*x+20 = 0 // - 20

2*x = -20 // : 2

x = -20/2

x = -10

x = -10

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