Answer:
29
x = --------- Answer C is the correct one.
8c
Step-by-step explanation:
First, let's combine the constants -1/4 and 5/2. Adding 1/4 to both sides, we get (2/3)(cx + 1/2) = 11/4. The LCD here is (3)(4), or 12.
Multiplying both sides by 12, we get:
8(cx + 1/2) = 33.
We want to isolate cx. To get started, divide both sides by 8, resulting in:
cx + 1/2 = 33/8, or cx + 4/8 = 33/8, or cx = 29/8.
Isolate x by dividing both sides by c:
29
x = --------- Answer C is the correct one.
8c
