| ( | 5 | ( | 2 | + | x | ) | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | ) | ÷ | ( | 4 | + | x | ) | = | 47 10 |
| Multiply both sides of the equation by: | ( | 4 | + | x | ) |
| ( | 5 | ( | 2 | + | x | ) | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | ) | = | 47 10 | ( | 4 | + | x | ) |
| 5 | ( | 2 | + | x | ) | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | = | 47 10 | ( | 4 | + | x | ) |
| 5 | ( | 2 | + | x | ) | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | = | 47 10 | × | 4 | + | 47 10 | x |
| 5 | ( | 2 | + | x | ) | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 5 | × | 2 | + | 5 | x | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 10 | + | 5 | x | + | ( | 1 | × | 4 | ) | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 10 | + | 5 | x | + | 1 | × | 4 | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 10 | + | 5 | x | + | 4 | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 14 | + | 5 | x | + | ( | 1 | × | 1 | ) | = | 94 5 | + | 47 10 | x |
| 14 | + | 5 | x | + | 1 | × | 1 | = | 94 5 | + | 47 10 | x |
| 14 | + | 5 | x | + | 1 | = | 94 5 | + | 47 10 | x |
| 15 | + | 5 | x | = | 94 5 | + | 47 10 | x |
| 5 | x | − | 47 10 | x | = | 94 5 | − | 15 |
3 10 | x | = | 94 5 | − | 15 |
3 10 | x | = | 19 5 |
| x | = | 19 5 | ÷ | 3 10 |
| = | 19 5 | × | 10 3 |
| = | 19 | × | 2 3 |
| x | = | 38 3 |
| x | = | 12.666667 |