| ( | 13163 500 | + | x | ) | × | 47 20 | = | 13163 250 | + | 35889 500 | − | x |
| Left side of the equation = | 13163 500 | × | 47 20 | + | x | × | 47 20 |
| = | 618661 10000 | + | x | × | 47 20 |
618661 10000 | + | 47 20 | x | = | 13163 250 | + | 35889 500 | − | x |
| Right side of the equation = | 12443 100 | − | x |
618661 10000 | + | 47 20 | x | = | 12443 100 | − | x |
47 20 | x | + | x | = | 12443 100 | − | 618661 10000 |
67 20 | x | = | 12443 100 | − | 618661 10000 |
67 20 | x | = | 625639 10000 |
| x | = | 625639 10000 | ÷ | 67 20 |
| = | 625639 10000 | × | 20 67 |
| = | 625639 500 | × | 1 67 |
| x | = | 625639 33500 |
| x | = | 18.675791 |