| ( | 4 | + | 1 | + | 5 | x | ) | ÷ | ( | x | + | 2 | ) | = | 47 10 |
| Multiply both sides of the equation by: | ( | x | + | 2 | ) |
| ( | 4 | + | 1 | + | 5 | x | ) | = | 47 10 | ( | x | + | 2 | ) |
| 4 | + | 1 | + | 5 | x | = | 47 10 | ( | x | + | 2 | ) |
| 4 | + | 1 | + | 5 | x | = | 47 10 | x | + | 47 10 | × | 2 |
| 4 | + | 1 | + | 5 | x | = | 47 10 | x | + | 47 5 |
| 5 | + | 5 | x | = | 47 10 | x | + | 47 5 |
| 5 | x | − | 47 10 | x | = | 47 5 | − | 5 |
3 10 | x | = | 47 5 | − | 5 |
3 10 | x | = | 22 5 |
| x | = | 22 5 | ÷ | 3 10 |
| = | 22 5 | × | 10 3 |
| = | 22 | × | 2 3 |
| x | = | 44 3 |
| x | = | 14.666667 |