Solve for C

2a=(5b-c)/(3c+1)

To solve for C in the equation 2a = (5b - c) / (3c + 1), we can follow these steps:

Step 1: Clear the fraction by multiplying both sides of the equation by (3c + 1):
2a(3c + 1) = 5b - c

Step 2: Distribute 2a to both terms inside the parentheses:
6ac + 2a = 5b - c

Step 3: Move the terms involving c to one side of the equation by adding c to both sides:
6ac + c + 2a = 5b

Step 4: Rearrange the terms involving c:
6ac + c = 5b - 2a

Step 5: Factor out c from the left side:
c(6a + 1) = 5b - 2a

Step 6: Divide both sides of the equation by (6a + 1) to isolate c:
c = (5b - 2a) / (6a + 1)

Therefore, the value of C in terms of a and b is given by (5b - 2a) / (6a + 1).