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a/b(2x - 12) = c/d
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solve for x? \[\frac{a}{b}(2x-12)=\frac{c}{d}\] multiply by the reciprocal \[2x-12=\frac{c}{d}\times \frac{b}{a}=\frac{bc}{ad}\] divide by 2 \[x-6=\frac{bc}{2ad}\] add 6 \[x=\frac{bc}{2ad}+6\]
ad=(2bcx-12bc) ==> 2bcx=ad+12bc ==> x= (ad+12bc)/2bc
= ad/2bc +6
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