a(b-1)+2(3+b)=8

Solution for a(b-1)+2(3+b)=8 equation:

Simplifying
a(b + -1) + 2(3 + b) = 8

Reorder the terms:
a(-1 + b) + 2(3 + b) = 8
(-1 * a + b * a) + 2(3 + b) = 8
(-1a + ab) + 2(3 + b) = 8
-1a + ab + (3 * 2 + b * 2) = 8
-1a + ab + (6 + 2b) = 8

Reorder the terms:
6 + -1a + ab + 2b = 8

Solving
6 + -1a + ab + 2b = 8

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -1a + ab + -6 + 2b = 8 + -6

Reorder the terms:
6 + -6 + -1a + ab + 2b = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1a + ab + 2b = 8 + -6
-1a + ab + 2b = 8 + -6

Combine like terms: 8 + -6 = 2
-1a + ab + 2b = 2

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

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

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

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

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

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

The solution to this equation could not be determined.