#### Answer

c = $\frac{23}{7}$

#### Work Step by Step

$\frac{5(c + 1)}{6}$ = 2c - 3
Multiply both sides by 6:
5(c + 1) = 6(2c - 3)
Distribute:
5c + 5 = 12c - 18
Subtract 12c from both sides:
-7c + 5 = -18
Subtract 5 from both sides:
-7c = -23
Divide both sides by -7:
c = $\frac{23}{7}$