(x-a)/b=(y-a)/c

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


x in (-oo:+oo)

(x-a)/b = (y-a)/c // - (y-a)/c

(x-a)/b-((y-a)/c) = 0

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

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

c*(x-a)-1*b*(y-a) = 0

a*b-(b*y)-(a*c)+c*x = 0

(a*b-(b*y)-(a*c)+c*x)/(b*c) = 0

(a*b-(b*y)-(a*c)+c*x)/(b*c) = 0 // * b*c

a*b-(b*y)-(a*c)+c*x = 0

a*b-(b*y)+c*x-(a*c) = 0 // - a*b-(b*y)-(a*c)

c*x = -(a*b-(b*y)-(a*c)) // : c

x = (-(a*b-(b*y)-(a*c)))/c

x = (b*y-(a*b)+a*c)/c

x = (b*y-(a*b)+a*c)/c

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