How do you solve ax + b = cx - d

Question

how is this factored? ax + b = cx - d

Answer 1

To solve this equation for X, you need to isolate the X on one side of the =.  The first step would be to subtract cX from both sides, resulting aX - cX + b = -d.  Now subtract b from both sides, resulting aX - cX = -b -d.  Now factor the X out on the left side of the =, resulting X (a - c) = -b -d.  Now divide both sides by (a - c), resulting X = -b -d/a -c.