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

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


x in (-oo:+oo)

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

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

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

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

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

c*y-b^2-(b*x)-(a*c) = 0

(c*y-b^2-(b*x)-(a*c))/(b*c) = 0

(c*y-b^2-(b*x)-(a*c))/(b*c) = 0 // * b*c

c*y-b^2-(b*x)-(a*c) = 0

c*y-b*x-b^2-(a*c) = 0 // - c*y-b^2-(a*c)

-b*x = -(c*y-b^2-(a*c)) // : -b

x = (-(c*y-b^2-(a*c)))/(-b)

x = -(b^-1*(b^2-(c*y)+a*c))

x = -(b^-1*(b^2-(c*y)+a*c))

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