Final answer:
To isolate x on one side of the equation ax+b+4d=cx-d, subtract cx from both sides and add b and 5d to both sides. Finally, divide both sides by (a - c) to solve for x.
Step-by-step explanation:
To isolate x on one side of the equation ax+b+4d=cx-d, we need to gather all the x terms on one side and all non-x terms on the other side. We can start by subtracting cx from both sides and adding b and 5d to both sides:
(a - c)x = -b - 5d - d
Then, we can divide both sides by (a - c) to solve for x:
x = (-b - 5d - d) / (a - c)