Question

bx-cx=-c solve for x.
find any restrictions

Answer 1

$bx-cx=-c\ \ \ \ \ |change\ signs\\\\cx-bx=c\\\\x(c-b)=c\ \ \ \ |divide\ both\ sides\ by\ (c-b)\\\\\boxed{x=\dfrac{c}{c-b}}$

Answer 2

$Bx-cx=-c$ 

$x(b-c)=-c$   $Factor \ out \ the \ common \ term \ x$ 

$x=- \dfrac{c}{b-c}$   $Divide \ both \ sides \ by \ b-c$