[tex]a(x+b)-c=d\qquad|\text{add c to both sides}\\\\a(x+b)=d+c\qquad|\text{use distributive property}\\\\ax+ab=d+c\qquad|\text{subtract ab from both sides}\\\\ax=d+c-ab\qquad|\text{divide both sides by}\ a\neq0\\\\\boxed{x=\dfrac{d+c-ab}{a}}[/tex]