2b(a+2)-a(4-b)+2(a+b-5)=

Solution for 2b(a+2)-a(4-b)+2(a+b-5)= equation:

Simplifying
2b(a + 2) + -1a(4 + -1b) + 2(a + b + -5) = 0

Reorder the terms:
2b(2 + a) + -1a(4 + -1b) + 2(a + b + -5) = 0
(2 * 2b + a * 2b) + -1a(4 + -1b) + 2(a + b + -5) = 0

Reorder the terms:
(2ab + 4b) + -1a(4 + -1b) + 2(a + b + -5) = 0
(2ab + 4b) + -1a(4 + -1b) + 2(a + b + -5) = 0
2ab + 4b + (4 * -1a + -1b * -1a) + 2(a + b + -5) = 0
2ab + 4b + (-4a + 1ab) + 2(a + b + -5) = 0

Reorder the terms:
2ab + 4b + -4a + 1ab + 2(-5 + a + b) = 0
2ab + 4b + -4a + 1ab + (-5 * 2 + a * 2 + b * 2) = 0
2ab + 4b + -4a + 1ab + (-10 + 2a + 2b) = 0

Reorder the terms:
-10 + -4a + 2a + 2ab + 1ab + 4b + 2b = 0

Combine like terms: -4a + 2a = -2a
-10 + -2a + 2ab + 1ab + 4b + 2b = 0

Combine like terms: 2ab + 1ab = 3ab
-10 + -2a + 3ab + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b
-10 + -2a + 3ab + 6b = 0

Solving
-10 + -2a + 3ab + 6b = 0

Solving for variable 'a'.

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

Add '10' to each side of the equation.
-10 + -2a + 3ab + 10 + 6b = 0 + 10

Reorder the terms:
-10 + 10 + -2a + 3ab + 6b = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -2a + 3ab + 6b = 0 + 10
-2a + 3ab + 6b = 0 + 10

Combine like terms: 0 + 10 = 10
-2a + 3ab + 6b = 10

Add '-6b' to each side of the equation.
-2a + 3ab + 6b + -6b = 10 + -6b

Combine like terms: 6b + -6b = 0
-2a + 3ab + 0 = 10 + -6b
-2a + 3ab = 10 + -6b

Reorder the terms:
-10 + -2a + 3ab + 6b = 10 + -6b + -10 + 6b

Reorder the terms:
-10 + -2a + 3ab + 6b = 10 + -10 + -6b + 6b

Combine like terms: 10 + -10 = 0
-10 + -2a + 3ab + 6b = 0 + -6b + 6b
-10 + -2a + 3ab + 6b = -6b + 6b

Combine like terms: -6b + 6b = 0
-10 + -2a + 3ab + 6b = 0

The solution to this equation could not be determined.