| 1800 | ÷ | ( | x | + | 4 | ) | + | 900 | ÷ | ( | x | − | 6 | ) | = | 2700 | ÷ | x |
| Multiply both sides of the equation by: | ( | x | + | 4 | ) | , | x |
| 1800 | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | ( | x | + | 4 | ) | x | = | 2700 | ( | x | + | 4 | ) |
| 1800 | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | x | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | 4 | x | = | 2700 | ( | x | + | 4 | ) |
| 1800 | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | x | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | 4 | x | = | 2700 | x | + | 2700 | × | 4 |
| 1800 | x | + | 900 | ÷ | ( | x | − | 6 | ) | × | x | x | + | 3600 | ÷ | ( | x | − | 6 | ) | × | x | = | 2700 | x | + | 10800 |
| Multiply both sides of the equation by: | ( | x | − | 6 | ) |
| 1800 | x | ( | x | − | 6 | ) | + | 900 | x | x | + | 3600 | x | = | 2700 | x | ( | x | − | 6 | ) | + | 10800 | ( | x | − | 6 | ) |
| 1800 | x | x | − | 1800 | x | × | 6 | + | 900 | x | x | + | 3600 | x | = | 2700 | x | ( | x | − | 6 | ) | + | 10800 | ( | x | − | 6 | ) |
| 1800 | x | x | − | 1800 | x | × | 6 | + | 900 | x | x | + | 3600 | x | = | 2700 | x | x | − | 2700 | x | × | 6 | + | 10800 | ( | x | − | 6 | ) |
| 1800 | x | x | − | 10800 | x | + | 900 | x | x | + | 3600 | x | = | 2700 | x | x | − | 16200 | x | + | 10800 | ( | x | − | 6 | ) |
| 1800 | x | x | − | 7200 | x | + | 900 | x | x | = | 2700 | x | x | − | 16200 | x | + | 10800 | ( | x | − | 6 | ) |
| 1800 | x | x | − | 7200 | x | + | 900 | x | x | = | 2700 | x | x | − | 16200 | x | + | 10800 | x | − | 10800 | × | 6 |
| 1800 | x | x | − | 7200 | x | + | 900 | x | x | = | 2700 | x | x | − | 16200 | x | + | 10800 | x | − | 64800 |
| 1800 | x | x | − | 7200 | x | + | 900 | x | x | = | 2700 | x | x | − | 5400 | x | − | 64800 |