4x+1=Ax+A+Bx-2B

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Solution for 4x+1=Ax+A+Bx-2B equation: 


Simplifying
4x + 1 = Ax + A + Bx + -2B

Reorder the terms:
1 + 4x = Ax + A + Bx + -2B

Reorder the terms:
1 + 4x = A + -2B + xA + xB

Solving
1 + 4x = A + -2B + xA + xB

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.
1 + 4x + -1xA = A + -2B + xA + -1xA + xB

Combine like terms: xA + -1xA = 0
1 + 4x + -1xA = A + -2B + 0 + xB
1 + 4x + -1xA = A + -2B + xB

Add '-1xB' to each side of the equation.
1 + 4x + -1xA + -1xB = A + -2B + xB + -1xB

Combine like terms: xB + -1xB = 0
1 + 4x + -1xA + -1xB = A + -2B + 0
1 + 4x + -1xA + -1xB = A + -2B

Add '-1' to each side of the equation.
1 + 4x + -1xA + -1 + -1xB = A + -1 + -2B

Reorder the terms:
1 + -1 + 4x + -1xA + -1xB = A + -1 + -2B

Combine like terms: 1 + -1 = 0
0 + 4x + -1xA + -1xB = A + -1 + -2B
4x + -1xA + -1xB = A + -1 + -2B

Reorder the terms:
4x + -1xA + -1xB = -1 + A + -2B

Reorder the terms:
1 + -1A + 2B + 4x + -1xA + -1xB = -1 + A + -2B + 1 + -1A + 2B

Reorder the terms:
1 + -1A + 2B + 4x + -1xA + -1xB = -1 + 1 + A + -1A + -2B + 2B

Combine like terms: -1 + 1 = 0
1 + -1A + 2B + 4x + -1xA + -1xB = 0 + A + -1A + -2B + 2B
1 + -1A + 2B + 4x + -1xA + -1xB = A + -1A + -2B + 2B

Combine like terms: A + -1A = 0
1 + -1A + 2B + 4x + -1xA + -1xB = 0 + -2B + 2B
1 + -1A + 2B + 4x + -1xA + -1xB = -2B + 2B

Combine like terms: -2B + 2B = 0
1 + -1A + 2B + 4x + -1xA + -1xB = 0

The solution to this equation could not be determined.

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