| ( | 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | ) | ÷ | ( | 53 | + | x | ) | = | 23 5 |
| 方程两边同时乘以: | ( | 53 | + | x | ) |
| ( | 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | ) | = | 23 5 | ( | 53 | + | x | ) |
| 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | = | 23 5 | ( | 53 | + | x | ) |
| 5 | ( | 37 | + | x | ) | + | 4 | × | 6 | + | 1 | × | 4 | + | 3 | × | 4 | + | 2 | × | 1 | = | 23 5 | × | 53 | + | 23 5 | x |
| 5 | ( | 37 | + | x | ) | + | 24 | + | 4 | + | 12 | + | 2 | = | 1219 5 | + | 23 5 | x |
| 5 | ( | 37 | + | x | ) | + | 42 | = | 1219 5 | + | 23 5 | x |
| 5 | × | 37 | + | 5 | x | + | 42 | = | 1219 5 | + | 23 5 | x |
| 185 | + | 5 | x | + | 42 | = | 1219 5 | + | 23 5 | x |
| 227 | + | 5 | x | = | 1219 5 | + | 23 5 | x |
| 5 | x | − | 23 5 | x | = | 1219 5 | − | 227 |
2 5 | x | = | 1219 5 | − | 227 |
2 5 | x | = | 84 5 |
| x | = | 84 5 | ÷ | 2 5 |
| = | 84 5 | × | 5 2 |
| = | 42 | × | 1 |
| x | = | 42 |