5w+8-w=bw-2(w-4)

Solution for 5w+8-w=bw-2(w-4) equation:

Simplifying
5w + 8 + -1w = bw + -2(w + -4)

Reorder the terms:
8 + 5w + -1w = bw + -2(w + -4)

Combine like terms: 5w + -1w = 4w
8 + 4w = bw + -2(w + -4)

Reorder the terms:
8 + 4w = bw + -2(-4 + w)
8 + 4w = bw + (-4 * -2 + w * -2)
8 + 4w = bw + (8 + -2w)

Reorder the terms:
8 + 4w = 8 + bw + -2w

Add '-8' to each side of the equation.
8 + -8 + 4w = 8 + bw + -8 + -2w

Combine like terms: 8 + -8 = 0
0 + 4w = 8 + bw + -8 + -2w
4w = 8 + bw + -8 + -2w

Reorder the terms:
4w = 8 + -8 + bw + -2w

Combine like terms: 8 + -8 = 0
4w = 0 + bw + -2w
4w = bw + -2w

Solving
4w = bw + -2w

Solving for variable 'w'.

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

Add '-1bw' to each side of the equation.
-1bw + 4w = bw + -1bw + -2w

Combine like terms: bw + -1bw = 0
-1bw + 4w = 0 + -2w
-1bw + 4w = -2w

Add '2w' to each side of the equation.
-1bw + 4w + 2w = -2w + 2w

Combine like terms: 4w + 2w = 6w
-1bw + 6w = -2w + 2w

Combine like terms: -2w + 2w = 0
-1bw + 6w = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-1b + 6) = 0

Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(-1b + 6)' equal to zero and attempt to solve:

Simplifying
-1b + 6 = 0

Reorder the terms:
6 + -1b = 0

Solving
6 + -1b = 0

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

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

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Add 'b' to each side of the equation.
-1b + b = -6 + b

Combine like terms: -1b + b = 0
0 = -6 + b

Simplifying
0 = -6 + b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
w = {0}