Answer:
the solution to the equation is x = 31 / 8c.
Explanation:
To solve the equation 2/3 (cx + 1/2) - 1/4 = 5/2, we can follow these steps:
Combine like terms.
2/3 (cx + 1/2) - 1/4 = 5/2
2cx/3 + 1/3 - 1/4 = 5/2
2cx/3 - 1/12 = 5/2
Multiply both sides by the least common denominator.
12 * (2cx/3 - 1/12) = 12 * 5/2
8cx - 1 = 30
Isolate x.
8cx = 31
x = 31 / 8c
Therefore, the solution to the equation is x = 31 / 8c.