| ( | 75 100 | x | + | 64 | ) | ÷ | ( | x | − | 64 | ) | = | 5 4 |
| 方程两边同时乘以: | ( | x | − | 64 | ) |
| ( | 75 100 | x | + | 64 | ) | = | 5 4 | ( | x | − | 64 | ) |
75 100 | x | + | 64 | = | 5 4 | ( | x | − | 64 | ) |
75 100 | x | + | 64 | = | 5 4 | x | − | 5 4 | × | 64 |
75 100 | x | + | 64 | = | 5 4 | x | − | 80 |
75 100 | x | − | 5 4 | x | = | - | 80 | − | 64 |
| - | 1 2 | x | = | - | 80 | − | 64 |
| - | 1 2 | x | = | - | 144 |
| 144 | = | 1 2 | x |
1 2 | x | = | 144 |
| x | = | 144 | ÷ | 1 2 |
| = | 144 | × | 2 |
| x | = | 288 |