| X | = | 4000 | ÷ | ( | 1 | + | 1 10 | ) | + | 4000 | ÷ | 121 100 | + | 4000 | ÷ | 1331 1000 | − | ( | 20000 | ÷ | 11 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 1 10 | ) |
| X | ( | 1 | + | 1 10 | ) | = | 4000 | + | 4000 | ÷ | 121 100 | × | ( | 1 | + | 1 10 | ) | + | 4000 | ÷ | 1331 1000 | × | ( | 1 | + | 1 10 | ) | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
| X | × | 1 | + | X | × | 1 10 | = | 4000 | + | 4000 | ÷ | 121 100 | × | ( | 1 | + | 1 10 | ) | + | 4000 | ÷ | 1331 1000 | × | ( | 1 | + | 1 10 | ) | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
| X | × | 1 | + | X | × | 1 10 | = | 4000 | + | 4000 | ÷ | 121 100 | × | 1 | + | 4000 | ÷ | 121 100 | × | 1 10 | + | 4000 | ÷ | 1331 1000 | × | ( | 1 | + | 1 10 | ) | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
| X | × | 1 | + | X | × | 1 10 | = | 4000 | + | 400000 121 | + | 40000 121 | + | 4000000 1331 | ( | 1 | + | 1 10 | ) | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 84000 11 | + | 4000000 1331 | ( | 1 | + | 1 10 | ) | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 84000 11 | + | 4000000 1331 | × | 1 | + | 4000000 1331 | × | 1 10 | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 84000 11 | + | 4000000 1331 | + | 400000 1331 | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 1324000 121 | − | ( | 20000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 1324000 121 | − | 20000 | ÷ | 11 10 | × | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 1324000 121 | − | 200000 11 | ( | 1 | + | 1 10 | ) | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 1324000 121 | − | 200000 11 | × | 1 | − | 200000 11 | × | 1 10 | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | 1324000 121 | − | 200000 11 | − | 20000 11 | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | - | 1096000 121 | − | ( | 10000 | ÷ | 11 10 | ) | ( | 1 | + | 1 10 | ) |
11 10 | X | = | - | 1096000 121 | − | 10000 | ÷ | 11 10 | × | ( | 1 | + | 1 10 | ) |
11 10 | X | = | - | 1096000 121 | − | 100000 11 | ( | 1 | + | 1 10 | ) |
11 10 | X | = | - | 1096000 121 | − | 100000 11 | × | 1 | − | 100000 11 | × | 1 10 |
11 10 | X | = | - | 1096000 121 | − | 100000 11 | − | 10000 11 |
11 10 | X | = | - | 2306000 121 |
| X | = | - | 2306000 121 | ÷ | 11 10 |
| = | - | 2306000 121 | × | 10 11 |
| X | = | - | 23060000 1331 |
| X | = | - 17325.319309 |