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= -(mc)/(a-b-m)`