| x | + | 102 25 | + | ( | x | + | 102 25 | ) | × | 1 20 | + | ( | x | + | 102 25 | ) | × | 1 10 | + | ( | x | + | 102 25 | ) | × | 3 100 | = | 7469 100 |
| Left side of the equation = | x | + | 102 25 | + | x | × | 1 20 | + | 102 25 | × | 1 20 | + | ( | x | + | 102 25 | ) | × | 1 10 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | x | + | 102 25 | + | x | × | 1 20 | + | 51 250 | + | ( | x | + | 102 25 | ) | × | 1 10 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | 21 20 | x | + | 1071 250 | + | ( | x | + | 102 25 | ) | × | 1 10 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | 21 20 | x | + | 1071 250 | + | x | × | 1 10 | + | 102 25 | × | 1 10 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | 21 20 | x | + | 1071 250 | + | x | × | 1 10 | + | 51 125 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | 23 20 | x | + | 1173 250 | + | ( | x | + | 102 25 | ) | × | 3 100 |
| = | 23 20 | x | + | 1173 250 | + | x | × | 3 100 | + | 102 25 | × | 3 100 |
| = | 23 20 | x | + | 1173 250 | + | x | × | 3 100 | + | 153 1250 |
| = | 59 50 | x | + | 3009 625 |
59 50 | x | + | 3009 625 | = | 7469 100 |
59 50 | x | = | 7469 100 | − | 3009 625 |
59 50 | x | = | 174689 2500 |
| x | = | 174689 2500 | ÷ | 59 50 |
| = | 174689 2500 | × | 50 59 |
| = | 174689 50 | × | 1 59 |
| x | = | 174689 2950 |
| x | = | 59.21661 |