500 | x | ( | 1 | − | 5 100 | ) | − | 500 | × | 30 | − | 27500 | = | 500 | x | × | 10 100 |
方程左边 = | 500 | x | ( | 1 | − | 5 100 | ) | − | 15000 | − | 27500 |
= | 500 | x | ( | 1 | − | 5 100 | ) | − | 42500 |
500 | x | ( | 1 | − | 5 100 | ) | − | 42500 | = | 500 | x | × | 10 100 |
方程左边 = | 500 | x | × | 1 | − | 500 | x | × | 5 100 | − | 42500 |
= | 500 | x | − | 25 | x | − | 42500 |
= | 475 | x | − | 42500 |
475 | x | − | 42500 | = | 500 | x | × | 10 100 |
方程右边 = | 50 | x |
475 | x | − | 42500 | = | 50 | x |
475 | x | − | 50 | x | = | 42500 |
425 | x | = | 42500 |
x | = | 42500 | ÷ | 425 |
= | 42500 | × | 1 425 |
= | 100 | × | 1 |
x | = | 100 |