Ax-BC=C

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Solution for Ax-BC=C equation: 


Simplifying
Ax + -1BC = C

Reorder the terms:
-1BC + xA = C

Solving
-1BC + xA = C

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.
-1BC + xA + -1xA = C + -1xA

Combine like terms: xA + -1xA = 0
-1BC + 0 = C + -1xA
-1BC = C + -1xA

Divide each side by '-1C'.
B = -1 + xAC-1

Simplifying
B = -1 + xAC-1

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