Ax-bx=cx

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Solution for Ax-bx=cx equation: 


Simplifying
Ax + -1bx = cx

Reorder the terms:
-1bx + xA = cx

Solving
-1bx + xA = cx

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
-1bx + xA + -1xA = cx + -1xA

Combine like terms: xA + -1xA = 0
-1bx + 0 = cx + -1xA
-1bx = cx + -1xA

Divide each side by '-1x'.
b = -1c + A

Simplifying
b = -1c + A

Reorder the terms:
b = A + -1c

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