To solve the equation \( Ax + By = C \) for \( x \), we can isolate \( x \) by following these steps:
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Start with the given equation: \[ Ax + By = C \]
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Subtract \( By \) from both sides: \[ Ax = C - By \]
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Divide both sides by \( A \) (assuming \( A \neq 0 \)): \[ x = \frac{C - By}{A} \]
Thus, the solution for \( x \) in terms of \( A \), \( B \), \( C \), and \( y \) is: \[ x = \frac{C - By}{A} \]