22 5 | x | + | 37 10 | ( | x | + | 11 2 | ) | = | 39 10 | x | + | 491 20 |
| Left side of the equation = | 22 5 | x | + | 37 10 | x | + | 37 10 | × | 11 2 |
| = | 22 5 | x | + | 37 10 | x | + | 407 20 |
| = | 81 10 | x | + | 407 20 |
81 10 | x | + | 407 20 | = | 39 10 | x | + | 491 20 |
81 10 | x | − | 39 10 | x | = | 491 20 | − | 407 20 |
21 5 | x | = | 491 20 | − | 407 20 |
21 5 | x | = | 21 5 |
| x | = | 21 5 | ÷ | 21 5 |
| = | 21 5 | × | 5 21 |
| = | 1 | × | 1 |
| x | = | 1 |