To solve for x, we can first simplify both sides of the equation:

62 7/300 - x = 60 23/300

Convert the mixed numbers to improper fractions:

(300 62 + 7)/300 - x = (300 60 + 23)/300
(18600 + 7)/300 - x = (18000 + 23)/300
18607/300 - x = 18023/300

Now, find a common denominator and combine the fractions:

18607 - 300x = 18023

Now, solve for x:

300x = 18607 - 18023
300x = 584
x = 584/300
x = 29/15

Therefore, x = 29/15.