1=A(x+1)+B(x-1)+Cx

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Solution for 1=A(x+1)+B(x-1)+Cx equation: 


Simplifying
1 = A(x + 1) + B(x + -1) + Cx

Reorder the terms:
1 = A(1 + x) + B(x + -1) + Cx
1 = (1 * A + x * A) + B(x + -1) + Cx
1 = (1A + xA) + B(x + -1) + Cx

Reorder the terms:
1 = 1A + xA + B(-1 + x) + Cx
1 = 1A + xA + (-1 * B + x * B) + Cx
1 = 1A + xA + (-1B + xB) + Cx

Reorder the terms:
1 = 1A + -1B + xA + xB + xC

Solving
1 = 1A + -1B + xA + xB + xC

Solving for variable 'A'.

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

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

Reorder the terms:
1 + -1A = 1A + -1A + -1B + xA + xB + xC

Combine like terms: 1A + -1A = 0
1 + -1A = 0 + -1B + xA + xB + xC
1 + -1A = -1B + xA + xB + xC

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

Reorder the terms:
1 + -1A + -1xA = -1B + xA + -1xA + xB + xC

Combine like terms: xA + -1xA = 0
1 + -1A + -1xA = -1B + 0 + xB + xC
1 + -1A + -1xA = -1B + xB + xC

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

Reorder the terms:
1 + -1 + -1A + -1xA = -1B + xB + -1 + xC

Combine like terms: 1 + -1 = 0
0 + -1A + -1xA = -1B + xB + -1 + xC
-1A + -1xA = -1B + xB + -1 + xC

Reorder the terms:
-1A + -1xA = -1 + -1B + xB + xC

Reorder the terms:
1 + -1A + B + -1xA + -1xB + -1xC = -1 + -1B + xB + xC + 1 + B + -1xB + -1xC

Reorder the terms:
1 + -1A + B + -1xA + -1xB + -1xC = -1 + 1 + -1B + B + xB + -1xB + xC + -1xC

Combine like terms: -1 + 1 = 0
1 + -1A + B + -1xA + -1xB + -1xC = 0 + -1B + B + xB + -1xB + xC + -1xC
1 + -1A + B + -1xA + -1xB + -1xC = -1B + B + xB + -1xB + xC + -1xC

Combine like terms: -1B + B = 0
1 + -1A + B + -1xA + -1xB + -1xC = 0 + xB + -1xB + xC + -1xC
1 + -1A + B + -1xA + -1xB + -1xC = xB + -1xB + xC + -1xC

Combine like terms: xB + -1xB = 0
1 + -1A + B + -1xA + -1xB + -1xC = 0 + xC + -1xC
1 + -1A + B + -1xA + -1xB + -1xC = xC + -1xC

Combine like terms: xC + -1xC = 0
1 + -1A + B + -1xA + -1xB + -1xC = 0

The solution to this equation could not be determined.

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