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

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


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

Reorder the terms:
x(-1a + b) = 2b(a + b)
(-1a * x + b * x) = 2b(a + b)
(-1ax + bx) = 2b(a + b)
-1ax + bx = (a * 2b + b * 2b)
-1ax + bx = (2ab + 2b2)

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

Solving for variable 'a'.

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

Add '-2ab' to each side of the equation.
-1ax + -2ab + bx = 2ab + -2ab + 2b2

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

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

Add '-1bx' to each side of the equation.
-2ab + -1ax + bx + -1bx = -1bx + 2b2

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

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

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

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

The solution to this equation could not be determined.

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