| ( | 12813 500 | + | x | ) | × | 11 4 | = | 51253 1000 | + | 71679 1000 | − | x |
| Left side of the equation = | 12813 500 | × | 11 4 | + | x | × | 11 4 |
| = | 140943 2000 | + | x | × | 11 4 |
140943 2000 | + | 11 4 | x | = | 51253 1000 | + | 71679 1000 | − | x |
| Right side of the equation = | 30733 250 | − | x |
140943 2000 | + | 11 4 | x | = | 30733 250 | − | x |
11 4 | x | + | x | = | 30733 250 | − | 140943 2000 |
15 4 | x | = | 30733 250 | − | 140943 2000 |
15 4 | x | = | 104921 2000 |
| x | = | 104921 2000 | ÷ | 15 4 |
| = | 104921 2000 | × | 4 15 |
| = | 104921 500 | × | 1 15 |
| x | = | 104921 7500 |
| x | = | 13.989467 |