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

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

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

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

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

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

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

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

Solving for variable 'a'.

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

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

Combine like terms: 4ab + ab = 5ab
5ab + -2bx = -1ab + ab + bx

Combine like terms: -1ab + ab = 0
5ab + -2bx = 0 + bx
5ab + -2bx = bx

Add '2bx' to each side of the equation.
5ab + -2bx + 2bx = bx + 2bx

Combine like terms: -2bx + 2bx = 0
5ab + 0 = bx + 2bx
5ab = bx + 2bx

Combine like terms: bx + 2bx = 3bx
5ab = 3bx

Divide each side by '5b'.
a = 0.6x

Simplifying
a = 0.6x