| 12 | = | ( | x | + | 51 10 | ) | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | + | 51 10 | × | 12 | ÷ | ( | 51 5 | + | x | ) |
| Multiply both sides of the equation by: | ( | 51 5 | + | x | ) |
| 12 | ( | 51 5 | + | x | ) | = | ( | x | + | 51 10 | ) | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 51 10 | × | 12 |
| 12 | × | 51 5 | + | 12 | x | = | ( | x | + | 51 10 | ) | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 51 10 | × | 12 |
| 12 | × | 51 5 | + | 12 | x | = | x | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 51 10 | × | 12 |
612 5 | + | 12 | x | = | x | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 306 5 |
612 5 | + | 12 | x | = | x | × | 12 | ÷ | ( | 51 5 | + | x | ) | × | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | + | 306 5 |
| Multiply both sides of the equation by: | ( | 51 5 | + | x | ) |
612 5 | ( | 51 5 | + | x | ) | + | 12 | x | ( | 51 5 | + | x | ) | = | x | × | 12 | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 306 5 |
612 5 | × | 51 5 | + | 612 5 | x | + | 12 | x | ( | 51 5 | + | x | ) | = | x | × | 12 | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 306 5 |
612 5 | × | 51 5 | + | 612 5 | x | + | 12 | x | ( | 51 5 | + | x | ) | = | x | × | 12 | × | 51 5 | + | x | × | 12 | x | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) |
31212 25 | + | 612 5 | x | + | 12 | x | ( | 51 5 | + | x | ) | = | x | × | 612 5 | + | x | × | 12 | x | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) |
31212 25 | + | 612 5 | x | + | 12 | x | × | 51 5 | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 29 2500 | ( | 51 5 | + | x | ) | ( | 51 5 | + | x | ) | + | 51 10 | ( | 12 | ÷ | ( | 51 5 | + | x | ) | + | 29 2500 | ) | ( | 51 5 | + | x | ) |
31212 25 | + | 612 5 | x | + | 12 | x | × | 51 5 | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 29 2500 | × | 51 5 | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | x |
31212 25 | + | 612 5 | x | + | 612 5 | x | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | x | ( | 51 5 | + | x | ) |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | ( | 51 5 | + | x | ) | + | x | × | 29 2500 | x | ( | 51 5 | + | x | ) |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | × | 51 5 | + | x | × | 1479 12500 | x | + | x |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 612 5 | x | + | x | × | 12 | x | + | x | × | 75429 62500 | + | x | × | 1479 12500 | x | + | x | × | 29 2500 |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 7725429 62500 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | x | + | x | × | 29 2500 | x | ( | 51 5 | + | x | ) |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 7725429 62500 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | x | + | x | × | 29 2500 | x | × | 51 5 |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 7725429 62500 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | x | + | x | × | 1479 12500 | x | + | x |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 7725429 62500 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | x | + | x | × | 1479 12500 | x | + | x |
31212 25 | + | 1224 5 | x | + | 12 | x | x | = | 7725429 62500 | x | + | x | × | 12 | x | + | x | × | 1479 12500 | x | + | x | × | 1479 12500 | x | + | x |
| Multiply both sides of the equation by: | ( | 51 5 | + | x | ) |
31212 25 | ( | 51 5 | + | x | ) | + | 1224 5 | x | ( | 51 5 | + | x | ) | + | 12 | x | x | ( | 51 5 | + | x | ) | = | 7725429 62500 | x | ( | 51 5 | + | x | ) | + | x | × | 12 | x | ( | 51 5 | + | x | ) | + | x | × | 1479 12500 | x | ( | 51 5 | + | x | ) | + | x |
31212 25 | × | 51 5 | + | 31212 25 | x | + | 1224 5 | x | ( | 51 5 | + | x | ) | + | 12 | x | x | ( | 51 5 | + | x | ) | = | 7725429 62500 | x | ( | 51 5 | + | x | ) | + | x | × | 12 | x | ( | 51 5 | + | x | ) | + | x | × | 1479 12500 | x | ( | 51 5 | + | x | ) | + | x |
| x= | - | 51 10 |