If x - 8 8/9 = 6/7, we can add 8 8/9 to each side to figure out what x is equal to.
x = 8 8/9 + 6/7
Now we find the LCD of 7 and 9 (63)
x = 8 56/63 + 54/63
Now we convert 8 into something over 63
x = [tex] \frac{8*63+56+54}{63} [/tex]
x = [tex] \frac{614}{63} [/tex]
Since these two numbers don't share any common factor, the answer for our question is x = [tex] \frac{614}{63} [/tex]