Final answer:
To find the value of x in the equation acx - e = 3e + cxA, we combine like terms and factor out x, which gives us x = 4e/(ac - cA), corresponding to answer choice B.
Step-by-step explanation:
To solve for x in the equation acx - e = 3e + cxA, we first combine like terms by getting all the terms with x on one side and the constants on the other.
acx - cxA = 3e + e
Now, we factor out x on the left side:
x(ac - cA) = 4e
To get x by itself, we divide both sides by (ac - cA):
x = 4e/(ac - cA)
This corresponds to answer choice B.