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25-09-2018
Mathematics

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Solve the equation ax-k=3(x+h) for x in terms of a, k, and h.

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26-09-2018

[tex]ax-k=3(x+h)\ \ \ \ |\text{use distributive property}\\\\ax-k=(3)(x)+(3)(h)\\\\ax-k=3x+3h\ \ \ \ |+k\\\\ax=3x+3h+k\ \ \ \ \ |-3x\\\\ax-3x=3h+k\\\\(a-3)x=3h+k\ \ \ \ |:(a-3)\neq0\\\\\boxed{x=\dfrac{3h+k}{a-3}}[/tex]

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