( | 1 10 | x | ) | ÷ | 1 5 | − | ( | 1 100 | x | − | 1 100 | ) | ÷ | 3 50 | = | 1 | ÷ | 3 |
Left side of the equation = | 1 10 | x | × | 5 | − | ( | 1 100 | x | − | 1 100 | ) | × | 50 3 |
= | 1 2 | x | − | ( | 1 100 | x | − | 1 100 | ) | × | 50 3 |
= | 1 2 | x | − | 1 100 | x | × | 50 3 | + | 1 100 | × | 50 3 |
= | 1 2 | x | − | 1 6 | x | + | 1 6 |
= | 1 3 | x | + | 1 6 |
1 3 | x | + | 1 6 | = | 1 | ÷ | 3 |
Right side of the equation = | 1 3 |
1 3 | x | + | 1 6 | = | 1 3 |
1 3 | x | = | 1 3 | − | 1 6 |
1 3 | x | = | 1 6 |
x | = | 1 6 | ÷ | 1 3 |
= | 1 6 | × | 3 |
= | 1 2 | × | 1 |
x | = | 1 2 |
x | = | 0.5 |