| ( | 4 5 | x | + | ( | x | − | 6 | ) | × | 6 5 | ) | ÷ | x | = | 22 25 |
| Multiply both sides of the equation by: | x |
| ( | 4 5 | x | + | ( | x | − | 6 | ) | × | 6 5 | ) | = | 22 25 | x |
4 5 | x | + | ( | x | − | 6 | ) | × | 6 5 | = | 22 25 | x |
4 5 | x | + | x | × | 6 5 | − | 6 | × | 6 5 | = | 22 25 | x |
4 5 | x | + | x | × | 6 5 | − | 36 5 | = | 22 25 | x |
| 2 | x | − | 36 5 | = | 22 25 | x |
| 2 | x | − | 22 25 | x | = | 36 5 |
28 25 | x | = | 36 5 |
| x | = | 36 5 | ÷ | 28 25 |
| = | 36 5 | × | 25 28 |
| = | 9 | × | 5 7 |
| x | = | 45 7 |
| x | = | 6.428571 |