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

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


Simplifying
a(x + -1a + b) = 2b(x + -1b)

Reorder the terms:
a(-1a + b + x) = 2b(x + -1b)
(-1a * a + b * a + x * a) = 2b(x + -1b)

Reorder the terms:
(ab + ax + -1a2) = 2b(x + -1b)
(ab + ax + -1a2) = 2b(x + -1b)

Reorder the terms:
ab + ax + -1a2 = 2b(-1b + x)
ab + ax + -1a2 = (-1b * 2b + x * 2b)

Reorder the terms:
ab + ax + -1a2 = (2bx + -2b2)
ab + ax + -1a2 = (2bx + -2b2)

Solving
ab + ax + -1a2 = 2bx + -2b2

Solving for variable 'a'.

Reorder the terms:
ab + ax + -1a2 + -2bx + 2b2 = 2bx + -2bx + -2b2 + 2b2

Combine like terms: 2bx + -2bx = 0
ab + ax + -1a2 + -2bx + 2b2 = 0 + -2b2 + 2b2
ab + ax + -1a2 + -2bx + 2b2 = -2b2 + 2b2

Combine like terms: -2b2 + 2b2 = 0
ab + ax + -1a2 + -2bx + 2b2 = 0

The solution to this equation could not be determined.

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