1. simplify 1/3 ( c + 1 ) to c + 1/3 ( c + 1 over 3 = 1/6 (3c - 5)
2. simplify 1/6 (3c - 5) to 3c - 5 over 6 ( c + 1 over 3 = 3c - 5 over 6 )
3. multiply both sides by 6 [The LCM of 3, 6] 2(c + 1) = 3c - 5
4. expand (2c + 2 = 3c - 5)
5. subtract 2c from both sides (2 = 3c - 5 - 2c)
6. simplify 3c - 5 - 2c to c - 5 (2 = c - 5)
7. add 5 to both sides (2 + 5 = c)
8. simplify 2 + 5 to 7 (7 = c)
9. switch sides (c = 7 )
so in conclusion the answer is 7.