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X(a-b)=b(c-x) by making x the subject of formula

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To make \( x \) the subject of the formula in the equation \( X(a-b) = b(c-x) \), follow these steps:

  1. Expand the right side: \[ X(a-b) = bc - bx \]

  2. Rearrange the equation to isolate terms involving \( x \) on one side: \[ X(a-b) + bx = bc \]

  3. Factor out \( x \) from the left side: \[ bx = bc - X(a-b) \]

  4. Divide both sides by \( b \) to solve for \( x \): \[ x = \frac{bc - X(a-b)}{b} \]

Thus, the value of \( x \) is given by: \[ x = \frac{bc - X(a-b)}{b} \]