Answer:
n = 7
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex](n + 1) = [tex]\frac{1}{6}[/tex](3n - 5)
Multiply both sides by 6 to clear the fractions.
6 being the lowest common multiple of 3 and 6
2(n + 1) = 3n - 5 ← distribute left side
2n + 2 = 3n - 5 ( subtract 2n from bot sides )
2 = n - 5 ( add 5 to both sides )
7 = n