| 2 | ÷ | ( | 1 | + | 5 2 | m | ) | − | 7 | ÷ | 6 | = | 2 | ÷ | ( | 1 | − | m | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 5 2 | m | ) | , | ( | 1 | − | m | ) |
| 2 | ( | 1 | − | m | ) | − | 7 | ÷ | 6 | × | ( | 1 | + | 5 2 | m | ) | ( | 1 | − | m | ) | = | 2 | ( | 1 | + | 5 2 | m | ) |
| 2 | × | 1 | − | 2 | m | − | 7 | ÷ | 6 | × | ( | 1 | + | 5 2 | m | ) | ( | 1 | − | m | ) | = | 2 | ( | 1 | + | 5 2 | m | ) |
| 2 | × | 1 | − | 2 | m | − | 7 | ÷ | 6 | × | ( | 1 | + | 5 2 | m | ) | ( | 1 | − | m | ) | = | 2 | × | 1 | + | 2 | × | 5 2 | m |
| 2 | − | 2 | m | − | 7 6 | ( | 1 | + | 5 2 | m | ) | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
| 2 | − | 2 | m | − | 7 6 | × | 1 | ( | 1 | − | m | ) | − | 7 6 | × | 5 2 | m | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
| 2 | − | 2 | m | − | 7 6 | ( | 1 | − | m | ) | − | 35 12 | m | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
| 2 | − | 2 | m | − | 7 6 | × | 1 | + | 7 6 | m | − | 35 12 | m | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
| 2 | − | 2 | m | − | 7 6 | + | 7 6 | m | − | 35 12 | m | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
5 6 | − | 5 6 | m | − | 35 12 | m | ( | 1 | − | m | ) | = | 2 | + | 5 | m |
5 6 | − | 5 6 | m | − | 35 12 | m | × | 1 | + | 35 12 | m | m | = | 2 | + | 5 | m |
5 6 | − | 5 6 | m | − | 35 12 | m | + | 35 12 | m | m | = | 2 | + | 5 | m |
5 6 | − | 15 4 | m | + | 35 12 | m | m | = | 2 | + | 5 | m |