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# Solve for X

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b(5px - 3c) = a(qx - 4)

Aug 20, 2017

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Input: b(5px-3c) = a(qx-4)

Intepretation: Solve for $$x$$ in $$b(5px+3c) = a(qx-4)$$

Expand:

$$5bpx-3bc=aqx-4a$$

Move the $$x$$ terms to the right, integer ones to the left:

$$5bpx-aqx=3bc-4a$$

Pull the x out from the left term:

$$(5bp-aq)x=3bc-4a$$

Divide both sides by $$5bp-aq$$:

$$x=\frac{3bc-4a}{5bp-aq}$$

Done :D

Aug 20, 2017