| 550 | ÷ | x | + | 110 | − | 500 | ÷ | x | + | 100 | = | 23 10 |
| Multiply both sides of the equation by: | x |
| 550 | + | 110 | x | − | 500 | ÷ | 1 | × | 1 | + | 100 | x | = | 23 10 | x |
| 110 | x | + | 100 | x | − | 23 10 | x | = | - | 550 | + | 500 | ÷ | 1 | × | 1 |
| 110 | x | + | 100 | x | − | 23 10 | x | = | - | 550 | + | 500 |
2077 10 | x | = | - | 550 | + | 500 |
2077 10 | x | = | - | 50 |
| x | = | - | 50 | ÷ | 2077 10 |
| = | - | 50 | × | 10 2077 |
| x | = | - | 500 2077 |
| x | = | - 0.240732 |