| 500 | ÷ | x | = | ( | ( | 60 | − | x | ) | × | 5 | + | 500 | ) | ÷ | 60 | + | x |
| Multiply both sides of the equation by: | x |
| 500 | = | ( | ( | 60 | − | x | ) | × | 5 | + | 500 | ) | ÷ | 60 | × | x | + | x | x |
| 500 | = | ( | 60 | − | x | ) | × | 5 | ÷ | 60 | × | x | + | 500 | ÷ | 60 | × | x | + | x | x |
| 500 | = | ( | 60 | − | x | ) | × | 1 12 | x | + | 25 3 | x | + | x | x |
| 500 | = | 60 | × | 1 12 | x | − | x | × | 1 12 | x | + | 25 3 | x | + | x | x |
| 500 | = | 5 | x | − | x | × | 1 12 | x | + | 25 3 | x | + | x | x |
| 500 | = | 40 3 | x | − | x | × | 1 12 | x | + | x | x |