| ( | 1 | + | 5 | x | ) | ÷ | ( | x | + | 1 | ) | = | 43 10 |
| Multiply both sides of the equation by: | ( | x | + | 1 | ) |
| ( | 1 | + | 5 | x | ) | = | 43 10 | ( | x | + | 1 | ) |
| 1 | + | 5 | x | = | 43 10 | ( | x | + | 1 | ) |
| 1 | + | 5 | x | = | 43 10 | x | + | 43 10 | × | 1 |
| 1 | + | 5 | x | = | 43 10 | x | + | 43 10 |
| 5 | x | − | 43 10 | x | = | 43 10 | − | 1 |
7 10 | x | = | 43 10 | − | 1 |
7 10 | x | = | 33 10 |
| x | = | 33 10 | ÷ | 7 10 |
| = | 33 10 | × | 10 7 |
| = | 33 | × | 1 7 |
| x | = | 33 7 |
| x | = | 4.714286 |