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22-09-2014
Mathematics

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how to solve for x in the following equation x(a-b)=m(x-c)

Verified Answer :

22-09-2014

Expand,

\(xa-xb=mx-mc\)

Transfer all "x" terms to one side,

\(xa-xb-mx=-mc\)

Factor x out of the LHS.

\(x(a-b-m)=-mc\)

Divide both sides by (a-b-m).

\(x= -\frac{mc}{a-b-m}\)

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