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

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


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

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

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

Combine like terms: ax + -1ax = 0
ab + 0 + bx = 2a(2a + -1x)
ab + bx = 2a(2a + -1x)
ab + bx = (2a * 2a + -1x * 2a)

Reorder the terms:
ab + bx = (-2ax + 4a2)
ab + bx = (-2ax + 4a2)

Solving
ab + bx = -2ax + 4a2

Solving for variable 'a'.

Reorder the terms:
ab + 2ax + -4a2 + bx = -2ax + 4a2 + 2ax + -4a2

Reorder the terms:
ab + 2ax + -4a2 + bx = -2ax + 2ax + 4a2 + -4a2

Combine like terms: -2ax + 2ax = 0
ab + 2ax + -4a2 + bx = 0 + 4a2 + -4a2
ab + 2ax + -4a2 + bx = 4a2 + -4a2

Combine like terms: 4a2 + -4a2 = 0
ab + 2ax + -4a2 + bx = 0

The solution to this equation could not be determined.

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