| ( | x | ÷ | 45 | ) | + | 6 100 | = | ( | x | + | 5 | ) | ÷ | ( | 45 | + | 5 | ) |
| 方程两边同时乘以: | ( | 45 | + | 5 | ) |
| ( | x | ÷ | 45 | ) | ( | 45 | + | 5 | ) | + | 6 100 | ( | 45 | + | 5 | ) | = | ( | x | + | 5 | ) |
| x | ÷ | 45 | × | ( | 45 | + | 5 | ) | + | 6 100 | ( | 45 | + | 5 | ) | = | ( | x | + | 5 | ) |
| x | ÷ | 45 | × | ( | 45 | + | 5 | ) | + | 6 100 | ( | 45 | + | 5 | ) | = | x | + | 5 |
| x | × | 1 45 | × | 45 | + | x | × | 1 45 | × | 5 | + | 6 100 | ( | 45 | + | 5 | ) | = | x | + | 5 |
| x | × | 1 | + | x | × | 1 9 | + | 6 100 | ( | 45 | + | 5 | ) | = | x | + | 5 |
10 9 | x | + | 6 100 | ( | 45 | + | 5 | ) | = | x | + | 5 |
10 9 | x | + | 6 100 | × | 45 | + | 6 100 | × | 5 | = | x | + | 5 |
10 9 | x | + | 27 10 | + | 3 10 | = | x | + | 5 |
10 9 | x | + | 3 | = | x | + | 5 |
10 9 | x | − | x | = | 5 | − | 3 |
1 9 | x | = | 5 | − | 3 |
1 9 | x | = | 2 |
| x | = | 2 | ÷ | 1 9 |
| = | 2 | × | 9 |
| x | = | 18 |