2x=((x-a)/b)

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Solution for 2x=((x-a)/b) equation: 


x in (-oo:+oo)

2*x = (x-a)/b // - (x-a)/b

2*x-((x-a)/b) = 0

(-1*(x-a))/b+2*x = 0

(-1*(x-a))/b+(2*b*x)/b = 0

2*b*x-1*(x-a) = 0

a+2*b*x-x = 0

a+2*b*x-x = 0

a+2*b*x = 0 // - a

2*b*x = -a // : 2*b

x = -a/(2*b)

x = (-1/2)*a*b^-1

1/2*a*b^-1+x = 0

(1/2*a*b^-1+x)/b = 0

(1/2*a*b^-1+x)/b = 0 // * b

1/2*a*b^-1+x = 0

1/2*a*b^-1+x = 0 // - 1/2*a*b^-1

x = -(1/2*a*b^-1)

x = -1/2*a*b^-1

x = -1/2*a*b^-1

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