First, let's combine like terms on the left side of the equation:

x - 7/18 + 5/36 = 2/3
x - 7/18 + 5/36 = 12/18
x - 7/18 + 5/36 = 2/3

Now, let's find a common denominator for the fractions on the left side:

x - 14/36 + 5/36 = 24/36
x - 9/36 = 24/36

Now, let's add 9/36 to both sides to isolate x:

x = 24/36 + 9/36
x = 33/36

Therefore, the solution to the equation is:

x = 33/36 = 11/12