It is usually easier to solve an equation if it has no denominators:
The denominators are 11, 3, and 6. A common denominator is 66.
Multiply each term by 66: 66[(3/11)x] - 66(1/3) = 66(5/6)
Simplify: 18x - 22 = 55
Add 22: 18x = 77
Divide by 18: x = 77/18