| 100 | ( | 10000 | ÷ | x | ) | + | 120 | ( | 10000 | ÷ | 60 | + | 10000 | ÷ | x | ) | + | 90 | ( | 10000 | ÷ | x | ) | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | = | 20000 |
| 100 | × | 10000 | ÷ | x | + | 120 | ( | 10000 | ÷ | 60 | + | 10000 | ÷ | x | ) | + | 90 | ( | 10000 | ÷ | x | ) | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | = | 20000 |
| 1000000 | ÷ | x | + | 120 | ( | 10000 | ÷ | 60 | + | 10000 | ÷ | x | ) | + | 90 | ( | 10000 | ÷ | x | ) | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | = | 20000 |
| Multiply both sides of the equation by: | x |
| 1000000 | + | 120 | ( | 10000 | ÷ | 60 | + | 10000 | ÷ | x | ) | x | + | 90 | ( | 10000 | ÷ | 1 | ) | × | 1 | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | x | = | 20000 | x |
| 1000000 | + | 120 | × | 10000 | ÷ | 60 | × | x | + | 120 | × | 10000 | ÷ | x | × | x | + | 90 | ( | 10000 | ÷ | 1 | ) | × | 1 | = | 20000 | x |
| 1000000 | + | 20000 | x | + | 1200000 | ÷ | x | × | x | + | 90 | ( | 10000 | ÷ | 1 | ) | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | x | = | 20000 | x |
| 1000000 | + | 20000 | x | + | 1200000 | ÷ | 1 | × | 1 | + | 90 | × | 10000 | ÷ | 1 | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | x | = | 20000 | x |
| 1000000 | + | 20000 | x | + | 1200000 | + | 900000 | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | x | = | 20000 | x |
| 3100000 | + | 20000 | x | + | 110 | ( | 20000 | ÷ | x | − | 10000 | ÷ | 90 | ) | x | = | 20000 | x |
| 3100000 | + | 20000 | x | + | 110 | × | 20000 | ÷ | x | × | x | − | 110 | × | 10000 | ÷ | 90 | × | x | = | 20000 | x |
| 3100000 | + | 20000 | x | + | 2200000 | ÷ | x | × | x | − | 110000 9 | x | = | 20000 | x |
| 3100000 | + | 70000 9 | x | + | 2200000 | ÷ | x | × | x | = | 20000 | x |
70000 9 | x | − | 20000 | x | = | - | 3100000 | − | 2200000 | ÷ | 1 | × | 1 |
70000 9 | x | − | 20000 | x | = | - | 3100000 | − | 2200000 |
| - | 110000 9 | x | = | - | 3100000 | − | 2200000 |
| - | 110000 9 | x | = | - | 5300000 |
| 5300000 | = | 110000 9 | x |
110000 9 | x | = | 5300000 |
| x | = | 5300000 | ÷ | 110000 9 |
| = | 5300000 | × | 9 110000 |
| = | 530 | × | 9 11 |
| x | = | 4770 11 |
| x | = | 433.636364 |