2b(a+2)-a(3-b)+2(a+b-1)=

Solution for 2b(a+2)-a(3-b)+2(a+b-1)= equation:

Simplifying
2b(a + 2) + -1a(3 + -1b) + 2(a + b + -1) = 0

Reorder the terms:
2b(2 + a) + -1a(3 + -1b) + 2(a + b + -1) = 0
(2 * 2b + a * 2b) + -1a(3 + -1b) + 2(a + b + -1) = 0

Reorder the terms:
(2ab + 4b) + -1a(3 + -1b) + 2(a + b + -1) = 0
(2ab + 4b) + -1a(3 + -1b) + 2(a + b + -1) = 0
2ab + 4b + (3 * -1a + -1b * -1a) + 2(a + b + -1) = 0
2ab + 4b + (-3a + 1ab) + 2(a + b + -1) = 0

Reorder the terms:
2ab + 4b + -3a + 1ab + 2(-1 + a + b) = 0
2ab + 4b + -3a + 1ab + (-1 * 2 + a * 2 + b * 2) = 0
2ab + 4b + -3a + 1ab + (-2 + 2a + 2b) = 0

Reorder the terms:
-2 + -3a + 2a + 2ab + 1ab + 4b + 2b = 0

Combine like terms: -3a + 2a = -1a
-2 + -1a + 2ab + 1ab + 4b + 2b = 0

Combine like terms: 2ab + 1ab = 3ab
-2 + -1a + 3ab + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b
-2 + -1a + 3ab + 6b = 0

Solving
-2 + -1a + 3ab + 6b = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + -1a + 3ab + 2 + 6b = 0 + 2

Reorder the terms:
-2 + 2 + -1a + 3ab + 6b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1a + 3ab + 6b = 0 + 2
-1a + 3ab + 6b = 0 + 2

Combine like terms: 0 + 2 = 2
-1a + 3ab + 6b = 2

Add '-6b' to each side of the equation.
-1a + 3ab + 6b + -6b = 2 + -6b

Combine like terms: 6b + -6b = 0
-1a + 3ab + 0 = 2 + -6b
-1a + 3ab = 2 + -6b

Reorder the terms:
-2 + -1a + 3ab + 6b = 2 + -6b + -2 + 6b

Reorder the terms:
-2 + -1a + 3ab + 6b = 2 + -2 + -6b + 6b

Combine like terms: 2 + -2 = 0
-2 + -1a + 3ab + 6b = 0 + -6b + 6b
-2 + -1a + 3ab + 6b = -6b + 6b

Combine like terms: -6b + 6b = 0
-2 + -1a + 3ab + 6b = 0

The solution to this equation could not be determined.