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Math Help - Rearranging the equation to make x the subject

  1. #1
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    Rearranging the equation to make x the subject

    Hello, I have a question that I need to rearrange to make x the subject.

    a(x-b)=x+c

    I tried various ways to make x the subject but I always find that x cancels itself, but I know there is definitely a way to express x without it cancelling out.
    If someone can explain this step by step that will be great.
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  2. #2
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    Re: Rearranging the equation to make x the subject

    ax - ab = x + c. Move all terms with "x" to one side, and all the constants to the other side.

    ax - x = ab + c

    x(a - 1) = ab + c

    x = \frac{ab + c}{a - 1}
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