| ( | x | − | 3 5 | ) | ÷ | 2 5 | + | x | = | ( | 1 10 | x | + | 1 | ) | ÷ | 3 10 |
| Left side of the equation = | x | × | 5 2 | − | 3 5 | × | 5 2 | + | x |
| = | x | × | 5 2 | − | 3 2 | + | x |
| = | 7 2 | x | − | 3 2 |
7 2 | x | − | 3 2 | = | ( | 1 10 | x | + | 1 | ) | ÷ | 3 10 |
| Right side of the equation = | 1 10 | x | × | 10 3 | + | 1 | × | 10 3 |
| = | 1 3 | x | + | 10 3 |
7 2 | x | − | 3 2 | = | 1 3 | x | + | 10 3 |
7 2 | x | − | 1 3 | x | = | 10 3 | + | 3 2 |
19 6 | x | = | 10 3 | + | 3 2 |
19 6 | x | = | 29 6 |
| x | = | 29 6 | ÷ | 19 6 |
| = | 29 6 | × | 6 19 |
| = | 29 | × | 1 19 |
| x | = | 29 19 |
| x | = | 1.526316 |