| X | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 6 100 | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 6 100 | × | 12 100 | = | 100 |
| Multiply both sides of the equation by: | ( | 1 | + | 6 100 | ) |
| X | ( | 1 | + | 6 100 | ) | − | X | × | 6 100 | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 6 100 | × | 12 100 | ( | 1 | + | 6 100 | ) | = | 100 | ( | 1 | + | 6 100 | ) |
| X | × | 1 | + | X | × | 6 100 | − | X | × | 6 100 | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 6 100 | × | 12 100 | ( | 1 | + | 6 100 | ) | = | 100 | ( | 1 | + | 6 100 | ) |
| X | × | 1 | + | X | × | 6 100 | − | X | × | 6 100 | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 6 100 | × | 12 100 | ( | 1 | + | 6 100 | ) | = | 100 | × | 1 | + | 100 | × | 6 100 |
| X | × | 1 | + | X | × | 6 100 | − | X | × | 6 100 | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 100 | + | 6 |
| 1 | X | − | X | ÷ | ( | 1 | + | 6 100 | ) | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 106 |
| Multiply both sides of the equation by: | ( | 1 | + | 6 100 | ) |
| 1 | X | ( | 1 | + | 6 100 | ) | − | X | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 106 | ( | 1 | + | 6 100 | ) |
| 1 | X | × | 1 | + | 1 | X | × | 6 100 | − | X | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 106 | ( | 1 | + | 6 100 | ) |
| 1 | X | × | 1 | + | 1 | X | × | 6 100 | − | X | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 106 | × | 1 | + | 106 | × | 6 100 |
| 1 | X | + | 3 50 | X | − | X | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 106 | + | 159 25 |
53 50 | X | − | X | × | 9 1250 | ( | 1 | + | 6 100 | ) | = | 2809 25 |
53 50 | X | − | X | × | 9 1250 | × | 1 | − | X | × | 9 1250 | × | 6 100 | = | 2809 25 |
53 50 | X | − | X | × | 9 1250 | − | X | × | 27 62500 | = | 2809 25 |
65773 62500 | X | = | 2809 25 |
| X | = | 2809 25 | ÷ | 65773 62500 |
| = | 2809 25 | × | 62500 65773 |
| = | 53 | × | 2500 1241 |
| X | = | 132500 1241 |
| X | = | 106.768735 |