(a-b)*C=x

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Solution for (a-b)*C=x equation: 


Simplifying
(a + -1b) * C = x

Reorder the terms for easier multiplication:
C(a + -1b) = x
(a * C + -1b * C) = x
(aC + -1bC) = x

Solving
aC + -1bC = x

Solving for variable 'a'.

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

Add 'bC' to each side of the equation.
aC + -1bC + bC = bC + x

Combine like terms: -1bC + bC = 0
aC + 0 = bC + x
aC = bC + x

Divide each side by 'C'.
a = b + xC-1

Simplifying
a = b + xC-1

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