| ( | ( | ( | 19 20 | + | 31 20 | ) | × | 19 20 | + | 173 50 | ) | × | 19 20 | + | x | ) | × | 101 100 | = | 1 | + | 173 50 | + | 31 20 | + | x |
| Left side of the equation = | ( | ( | 19 20 | + | 31 20 | ) | × | 19 20 | + | 173 50 | ) | × | 19 20 | × | 101 100 | + | x | × | 101 100 |
| = | ( | ( | 19 20 | + | 31 20 | ) | × | 19 20 | + | 173 50 | ) | × | 1919 2000 | + | x | × | 101 100 |
| = | ( | 19 20 | + | 31 20 | ) | × | 19 20 | × | 1919 2000 | + | 173 50 | × | 1919 2000 | + | 101 100 | x |
| = | ( | 19 20 | + | 31 20 | ) | × | 36461 40000 | + | 331987 100000 | + | 101 100 | x |
| = | 19 20 | × | 36461 40000 | + | 31 20 | × | 36461 40000 | + | 331987 100000 | + | 101 100 | x |
| = | 692759 800000 | + | 1130291 800000 | + | 331987 100000 | + | 101 100 | x |
| = | 2239473 400000 | + | 101 100 | x |
2239473 400000 | + | 101 100 | x | = | 1 | + | 173 50 | + | 31 20 | + | x |
| Right side of the equation = | 601 100 | + | x |
2239473 400000 | + | 101 100 | x | = | 601 100 | + | x |
101 100 | x | − | x | = | 601 100 | − | 2239473 400000 |
1 100 | x | = | 601 100 | − | 2239473 400000 |
1 100 | x | = | 164527 400000 |
| x | = | 164527 400000 | ÷ | 1 100 |
| = | 164527 400000 | × | 100 |
| = | 164527 4000 | × | 1 |
| x | = | 164527 4000 |
| x | = | 41.13175 |