x+4=Ax+A+B

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Solution for x+4=Ax+A+B equation:


Simplifying
x + 4 = Ax + A + B

Reorder the terms:
4 + x = Ax + A + B

Reorder the terms:
4 + x = A + B + xA

Solving
4 + x = A + B + xA

Solving for variable 'x'.

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

Add '-1xA' to each side of the equation.
4 + x + -1xA = A + B + xA + -1xA

Combine like terms: xA + -1xA = 0
4 + x + -1xA = A + B + 0
4 + x + -1xA = A + B

Add '-4' to each side of the equation.
4 + x + -4 + -1xA = A + -4 + B

Reorder the terms:
4 + -4 + x + -1xA = A + -4 + B

Combine like terms: 4 + -4 = 0
0 + x + -1xA = A + -4 + B
x + -1xA = A + -4 + B

Reorder the terms:
x + -1xA = -4 + A + B

Reorder the terms:
4 + -1A + -1B + x + -1xA = -4 + A + B + 4 + -1A + -1B

Reorder the terms:
4 + -1A + -1B + x + -1xA = -4 + 4 + A + -1A + B + -1B

Combine like terms: -4 + 4 = 0
4 + -1A + -1B + x + -1xA = 0 + A + -1A + B + -1B
4 + -1A + -1B + x + -1xA = A + -1A + B + -1B

Combine like terms: A + -1A = 0
4 + -1A + -1B + x + -1xA = 0 + B + -1B
4 + -1A + -1B + x + -1xA = B + -1B

Combine like terms: B + -1B = 0
4 + -1A + -1B + x + -1xA = 0

The solution to this equation could not be determined.

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