(b-4x)=b+2bx

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Solution for (b-4x)=b+2bx equation: 


Simplifying
(b + -4x) = b + 2bx

Remove parenthesis around (b + -4x)
b + -4x = b + 2bx

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

Combine like terms: b + -1b = 0
0 + -4x = b + -1b + 2bx
-4x = b + -1b + 2bx

Combine like terms: b + -1b = 0
-4x = 0 + 2bx
-4x = 2bx

Solving
-4x = 2bx

Solving for variable 'x'.

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

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

Combine like terms: 2bx + -2bx = 0
-2bx + -4x = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(b + 2) = 0

Ignore the factor -2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(b + 2)' equal to zero and attempt to solve:

Simplifying
b + 2 = 0

Reorder the terms:
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

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

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

Simplifying
0 = -2 + -1b

The solution to this equation could not be determined.

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

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