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

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

Simplifying
2b(2a + -1x) = (b + -1a) + a(x + b)
(2a * 2b + -1x * 2b) = (b + -1a) + a(x + b)
(4ab + -2bx) = (b + -1a) + a(x + b)

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

Remove parenthesis around (-1a + b)
4ab + -2bx = -1a + b + a(x + b)

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

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

Solving
4ab + -2bx = -1a + ab + ax + b

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
4ab + a + -2bx = -1a + ab + ax + a + b

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

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

Combine like terms: -1a + a = 0
a + 4ab + -2bx = 0 + ab + ax + b
a + 4ab + -2bx = ab + ax + b

Add '-1ab' to each side of the equation.
a + 4ab + -1ab + -2bx = ab + ax + -1ab + b

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

Reorder the terms:
a + 3ab + -2bx = ab + -1ab + ax + b

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

Add '-1ax' to each side of the equation.
a + 3ab + -1ax + -2bx = ax + -1ax + b

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

Add '2bx' to each side of the equation.
a + 3ab + -1ax + -2bx + 2bx = b + 2bx

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

Reorder the terms:
a + 3ab + -1ax + -1b + -2bx = b + -1b + 2bx + -2bx

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

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

The solution to this equation could not be determined.