| ( | 4 | x | ÷ | 4 | + | x | ) | ÷ | ( | 169 100 | + | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) | ) | = | 7 10 |
| Multiply both sides of the equation by: | ( | 169 100 | + | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) | ) |
| ( | 4 | x | ÷ | 4 | + | x | ) | = | 7 10 | ( | 169 100 | + | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) | ) |
| 4 | x | ÷ | 4 | + | x | = | 7 10 | ( | 169 100 | + | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) | ) |
| 4 | x | ÷ | 4 | + | x | = | 7 10 | × | 169 100 | + | 7 10 | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) |
| 1 | x | + | x | = | 1183 1000 | + | 7 10 | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) |
| 2 | x | = | 1183 1000 | + | 7 10 | ( | 4 | x | ÷ | ( | 4 | + | x | ) | ) |
| 2 | x | = | 1183 1000 | + | 7 10 | × | 4 | x | ÷ | ( | 4 | + | x | ) |
| 2 | x | = | 1183 1000 | + | 14 5 | x | ÷ | ( | 4 | + | x | ) |
| Multiply both sides of the equation by: | ( | 4 | + | x | ) |
| 2 | x | ( | 4 | + | x | ) | = | 1183 1000 | ( | 4 | + | x | ) | + | 14 5 | x |
| 2 | x | × | 4 | + | 2 | x | x | = | 1183 1000 | ( | 4 | + | x | ) | + | 14 5 | x |
| 2 | x | × | 4 | + | 2 | x | x | = | 1183 1000 | × | 4 | + | 1183 1000 | x | + | 14 5 | x |
| 8 | x | + | 2 | x | x | = | 1183 250 | + | 1183 1000 | x | + | 14 5 | x |
| 8 | x | + | 2 | x | x | = | 1183 250 | + | 3983 1000 | x |