A=X+B(C-X)

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Solution for A=X+B(C-X) equation: 


Simplifying
A = X + B(C + -1X)
A = X + (C * B + -1X * B)
A = X + (BC + -1BX)

Reorder the terms:
A = BC + -1BX + X

Solving
A = BC + -1BX + X

Solving for variable 'A'.

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

Simplifying
A = BC + -1BX + X

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