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

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


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

Reorder the terms:
(ab + a2x) + x(b + -1a) = 2b(2a + -1x)
(ab + a2x) + x(b + -1a) = 2b(2a + -1x)

Reorder the terms:
ab + a2x + x(-1a + b) = 2b(2a + -1x)
ab + a2x + (-1a * x + b * x) = 2b(2a + -1x)
ab + a2x + (-1ax + bx) = 2b(2a + -1x)

Reorder the terms:
ab + -1ax + a2x + bx = 2b(2a + -1x)
ab + -1ax + a2x + bx = (2a * 2b + -1x * 2b)
ab + -1ax + a2x + bx = (4ab + -2bx)

Solving
ab + -1ax + a2x + bx = 4ab + -2bx

Solving for variable 'a'.

Reorder the terms:
ab + -4ab + -1ax + a2x + bx + 2bx = 4ab + -2bx + -4ab + 2bx

Combine like terms: ab + -4ab = -3ab
-3ab + -1ax + a2x + bx + 2bx = 4ab + -2bx + -4ab + 2bx

Combine like terms: bx + 2bx = 3bx
-3ab + -1ax + a2x + 3bx = 4ab + -2bx + -4ab + 2bx

Reorder the terms:
-3ab + -1ax + a2x + 3bx = 4ab + -4ab + -2bx + 2bx

Combine like terms: 4ab + -4ab = 0
-3ab + -1ax + a2x + 3bx = 0 + -2bx + 2bx
-3ab + -1ax + a2x + 3bx = -2bx + 2bx

Combine like terms: -2bx + 2bx = 0
-3ab + -1ax + a2x + 3bx = 0

The solution to this equation could not be determined.

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