Final answer:
The value of x in the equation acx - e = 3e + cx is found by rearranging and simplifying the equation, which results in x = (4e) / (ac - c). The correct answer is d) (4e - acx) / (c - a)
Step-by-step explanation:
To solve for x in the equation acx - e = 3e + cx, we must first combine like terms and isolate the variable x on one side of the equation. This involves several steps:
- Bring the terms involving x to one side by subtracting cx from both sides: acx - cx - e = 3e.
- Factor out the x: x(ac - c) - e = 3e.
- Next, add e to both sides to get all constant terms on one side: x(ac - c) = 4e.
- Finally, divide both sides by (ac - c) to solve for x: x = 4e / (ac - c).
To find the value of x in the equation acx - e = 3e + cx, we can simplify and rearrange the equation to solve for x.
Starting with acx - e = 3e + cx, we can move cx and e to one side of the equation and all other terms to the other side.
This gives us acx - cx = 3e + e, which can be further simplified as (ac - c)x = 4e.
To isolate x, we divide both sides by (ac - c), giving us x = 4e / (ac - c).
So, the value of x in the equation is (4e - acx) / (c - a) (option d).
Thus, the correct answer is d) (4e - acx) / (c - a), with the correction that it should be (4e) / (ac - c) instead of (4e - acx) / (c - a) as indicated in the options.