| 75 | ÷ | ( | x | + | 4 | ) | + | 1 | ÷ | 2 | + | 126 | ÷ | ( | x | + | 4 | ) | = | 5 |
| 方程两边同时乘以: | ( | x | + | 4 | ) |
| 75 | + | 1 | ÷ | 2 | × | ( | x | + | 4 | ) | + | 126 | = | 5 | ( | x | + | 4 | ) |
| 75 | + | 1 | ÷ | 2 | × | x | + | 1 | ÷ | 2 | × | 4 | + | 126 | = | 5 | ( | x | + | 4 | ) |
| 75 | + | 1 | ÷ | 2 | × | x | + | 1 | ÷ | 2 | × | 4 | + | 126 | = | 5 | x | + | 5 | × | 4 |
| 75 | + | 1 2 | x | + | 2 | + | 126 | = | 5 | x | + | 20 |
| 203 | + | 1 2 | x | = | 5 | x | + | 20 |
1 2 | x | − | 5 | x | = | 20 | − | 203 |
| - | 9 2 | x | = | 20 | − | 203 |
| - | 9 2 | x | = | - | 183 |
| 183 | = | 9 2 | x |
9 2 | x | = | 183 |
| x | = | 183 | ÷ | 9 2 |
| = | 183 | × | 2 9 |
| = | 61 | × | 2 3 |
| x | = | 122 3 |
| x | = | 40.666667 |