Question

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

Answer 1

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).

$x= -\frac{mc}{a-b-m}$