| x | + | 7 | ÷ | 9 | × | ( | 20 | − | 45 | ÷ | ( | 2 | ÷ | 3 | × | x | ) | ) | = | 6 |
| x | + | 7 | ÷ | 9 | × | 20 | − | 7 | ÷ | 9 | × | 45 | ÷ | ( | 2 | ÷ | 3 | × | x | ) | = | 6 |
| x | + | 140 9 | − | 35 | ÷ | ( | 2 | ÷ | 3 | × | x | ) | = | 6 |
| Multiply both sides of the equation by: | ( | 2 | ÷ | 3 | × | x | ) |
| x | ( | 2 | ÷ | 3 | × | x | ) | + | 140 9 | ( | 2 | ÷ | 3 | × | x | ) | − | 35 | = | 6 | ( | 2 | ÷ | 3 | × | x | ) |
| x | × | 2 | ÷ | 3 | × | x | + | 140 9 | ( | 2 | ÷ | 3 | × | x | ) | − | 35 | = | 6 | ( | 2 | ÷ | 3 | × | x | ) |
| x | × | 2 | ÷ | 3 | × | x | + | 140 9 | ( | 2 | ÷ | 3 | × | x | ) | − | 35 | = | 6 | × | 2 | ÷ | 3 | × | x |
| x | × | 2 3 | x | + | 140 9 | ( | 2 | ÷ | 3 | × | x | ) | − | 35 | = | 4 | x |
| x | × | 2 3 | x | + | 140 9 | × | 2 | ÷ | 3 | × | x | − | 35 | = | 4 | x |
| x | × | 2 3 | x | + | 280 27 | x | − | 35 | = | 4 | x |