| ( | 5 | ( | 76 | + | x | ) | + | 4 | ( | 14 | + | x | ) | + | 3 | ( | 10 | + | x | ) | + | 2 | ( | 1 | + | x | ) | + | 1 | ( | 6 | + | x | ) | ) | ÷ | 107 | + | x | = | 47 10 |
| Left side of the equation = | 5 | ( | 76 | + | x | ) | × | 1 107 | + | 4 | ( | 14 | + | x | ) | × | 1 107 | + | 3 | ( | 10 | + | x | ) | × | 1 107 | + | 2 | ( | 1 | + | x | ) | × | 1 107 |
| = | 5 107 | ( | 76 | + | x | ) | + | 4 107 | ( | 14 | + | x | ) | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) | + | x |
| = | 5 107 | × | 76 | + | 5 107 | x | + | 4 107 | ( | 14 | + | x | ) | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 380 107 | + | 5 107 | x | + | 4 107 | ( | 14 | + | x | ) | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) | + | x |
| = | 380 107 | + | 112 107 | x | + | 4 107 | ( | 14 | + | x | ) | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 380 107 | + | 112 107 | x | + | 4 107 | × | 14 | + | 4 107 | x | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 |
| = | 380 107 | + | 112 107 | x | + | 56 107 | + | 4 107 | x | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 436 107 | + | 116 107 | x | + | 3 107 | ( | 10 | + | x | ) | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 436 107 | + | 116 107 | x | + | 3 107 | × | 10 | + | 3 107 | x | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 436 107 | + | 116 107 | x | + | 30 107 | + | 3 107 | x | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 466 107 | + | 119 107 | x | + | 2 107 | ( | 1 | + | x | ) | + | 1 107 | ( | 6 | + | x | ) |
| = | 466 107 | + | 119 107 | x | + | 2 107 | × | 1 | + | 2 107 | x | + | 1 107 | ( | 6 | + | x | ) |
| = | 466 107 | + | 119 107 | x | + | 2 107 | + | 2 107 | x | + | 1 107 | ( | 6 | + | x | ) |
| = | 468 107 | + | 121 107 | x | + | 1 107 | ( | 6 | + | x | ) |
| = | 468 107 | + | 121 107 | x | + | 1 107 | × | 6 | + | 1 107 | x |
| = | 468 107 | + | 121 107 | x | + | 6 107 | + | 1 107 | x |
| = | 474 107 | + | 122 107 | x |
474 107 | + | 122 107 | x | = | 47 10 |
122 107 | x | = | 47 10 | − | 474 107 |
122 107 | x | = | 289 1070 |
| x | = | 289 1070 | ÷ | 122 107 |
| = | 289 1070 | × | 107 122 |
| x | = | 30923 130540 |
| x | = | 289 1220 |
| x | = | 0.236885 |