2AC-5B=2AB-4C-B

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Solution for 2AC-5B=2AB-4C-B equation: 


Simplifying
2AC + -5B = 2AB + -4C + -1B

Reorder the terms:
2AC + -5B = 2AB + -1B + -4C

Solving
2AC + -5B = 2AB + -1B + -4C

Solving for variable 'A'.

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

Add '-2AB' to each side of the equation.
2AC + -2AB + -5B = 2AB + -1B + -2AB + -4C

Reorder the terms:
-2AB + 2AC + -5B = 2AB + -1B + -2AB + -4C

Reorder the terms:
-2AB + 2AC + -5B = 2AB + -2AB + -1B + -4C

Combine like terms: 2AB + -2AB = 0
-2AB + 2AC + -5B = 0 + -1B + -4C
-2AB + 2AC + -5B = -1B + -4C

Add '5B' to each side of the equation.
-2AB + 2AC + -5B + 5B = -1B + 5B + -4C

Combine like terms: -5B + 5B = 0
-2AB + 2AC + 0 = -1B + 5B + -4C
-2AB + 2AC = -1B + 5B + -4C

Combine like terms: -1B + 5B = 4B
-2AB + 2AC = 4B + -4C

Reorder the terms:
-2AB + 2AC + -4B + 4C = 4B + -4B + -4C + 4C

Combine like terms: 4B + -4B = 0
-2AB + 2AC + -4B + 4C = 0 + -4C + 4C
-2AB + 2AC + -4B + 4C = -4C + 4C

Combine like terms: -4C + 4C = 0
-2AB + 2AC + -4B + 4C = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1AB + AC + -2B + 2C) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1AB + AC + -2B + 2C)' equal to zero and attempt to solve:

Simplifying
-1AB + AC + -2B + 2C = 0

Solving
-1AB + AC + -2B + 2C = 0

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

Add '2B' to each side of the equation.
-1AB + AC + -2B + 2B + 2C = 0 + 2B

Combine like terms: -2B + 2B = 0
-1AB + AC + 0 + 2C = 0 + 2B
-1AB + AC + 2C = 0 + 2B
Remove the zero:
-1AB + AC + 2C = 2B

Add '-2C' to each side of the equation.
-1AB + AC + 2C + -2C = 2B + -2C

Combine like terms: 2C + -2C = 0
-1AB + AC + 0 = 2B + -2C
-1AB + AC = 2B + -2C

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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