| ( | 4823 125 | + | x | ) | × | 47 20 | = | 4823 125 | − | x | + | 8621 125 |
| Left side of the equation = | 4823 125 | × | 47 20 | + | x | × | 47 20 |
| = | 226681 2500 | + | x | × | 47 20 |
226681 2500 | + | 47 20 | x | = | 4823 125 | − | x | + | 8621 125 |
| Right side of the equation = | 13444 125 | − | x |
226681 2500 | + | 47 20 | x | = | 13444 125 | − | x |
47 20 | x | + | x | = | 13444 125 | − | 226681 2500 |
67 20 | x | = | 13444 125 | − | 226681 2500 |
67 20 | x | = | 42199 2500 |
| x | = | 42199 2500 | ÷ | 67 20 |
| = | 42199 2500 | × | 20 67 |
| = | 42199 125 | × | 1 67 |
| x | = | 42199 8375 |
| x | = | 5.038687 |