x-b*x+b=a+b*a-b

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Solution for x-b*x+b=a+b*a-b equation:


Simplifying
x + -1b * x + b = a + b * a + -1b

Multiply b * x
x + -1bx + b = a + b * a + -1b

Reorder the terms:
b + -1bx + x = a + b * a + -1b

Multiply b * a
b + -1bx + x = a + ab + -1b

Solving
b + -1bx + x = a + ab + -1b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-1ab' to each side of the equation.
b + -1bx + -1ab + x = a + ab + -1ab + -1b

Reorder the terms:
-1ab + b + -1bx + x = a + ab + -1ab + -1b

Combine like terms: ab + -1ab = 0
-1ab + b + -1bx + x = a + 0 + -1b
-1ab + b + -1bx + x = a + -1b

Add 'b' to each side of the equation.
-1ab + b + -1bx + b + x = a + -1b + b

Reorder the terms:
-1ab + b + b + -1bx + x = a + -1b + b

Combine like terms: b + b = 2b
-1ab + 2b + -1bx + x = a + -1b + b

Combine like terms: -1b + b = 0
-1ab + 2b + -1bx + x = a + 0
-1ab + 2b + -1bx + x = a

Add '-1x' to each side of the equation.
-1ab + 2b + -1bx + x + -1x = a + -1x

Combine like terms: x + -1x = 0
-1ab + 2b + -1bx + 0 = a + -1x
-1ab + 2b + -1bx = a + -1x

Reorder the terms:
-1a + -1ab + 2b + -1bx + x = a + -1x + -1a + x

Reorder the terms:
-1a + -1ab + 2b + -1bx + x = a + -1a + -1x + x

Combine like terms: a + -1a = 0
-1a + -1ab + 2b + -1bx + x = 0 + -1x + x
-1a + -1ab + 2b + -1bx + x = -1x + x

Combine like terms: -1x + x = 0
-1a + -1ab + 2b + -1bx + x = 0

The solution to this equation could not be determined.

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