To solve this equation, we first need to simplify the left side by distributing the 9/11 to both terms inside the parentheses:

9/11 x - 9/11 2/3 = 50
9x/11 - 6/11 = 50

Next, we need to get rid of the fraction by multiplying everything by 11:

11 (9x/11) - 11 (6/11) = 11 * 50
9x - 6 = 550

Now, add 6 to both sides:

9x = 556

Finally, divide by 9 to solve for x:

x = 556 / 9
x ≈ 61.778

Therefore, the solution to the equation is x ≈ 61.778.