Answer :
Expand,
[tex]xa-xb=mx-mc[/tex]
Transfer all "x" terms to one side,
[tex]xa-xb-mx=-mc[/tex]
Factor x out of the LHS.
[tex]x(a-b-m)=-mc[/tex]
Divide both sides by (a-b-m).
[tex]x= -\frac{mc}{a-b-m} [/tex]
[tex]xa-xb=mx-mc[/tex]
Transfer all "x" terms to one side,
[tex]xa-xb-mx=-mc[/tex]
Factor x out of the LHS.
[tex]x(a-b-m)=-mc[/tex]
Divide both sides by (a-b-m).
[tex]x= -\frac{mc}{a-b-m} [/tex]