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Work: Find the solution of equation (X-2/2016)+(X/2017)+(X+2/2018) = 6 .
Question type: Equation
Solution:Original question:| | ( | X | − | 2 | ÷ | 2016 | ) | + | ( | X | ÷ | 2017 | ) | + | ( | X | + | 2 | ÷ | 2018 | ) | = | 6 |
Remove the bracket on the left of the equation:
| Left side of the equation = | X | − | 2 | ÷ | 2016 | + | ( | X | ÷ | 2017 | ) | + | ( | X | + | 2 | ÷ | 2018 | ) |
| = | X | − | 1 1008 | + | ( | X | ÷ | 2017 | ) | + | ( | X | + | 2 | ÷ | 2018 | ) |
| = | X | − | 1 1008 | + | X | ÷ | 2017 | + | ( | X | + | 2 | ÷ | 2018 | ) |
| = | 2018 2017 | X | − | 1 1008 | + | ( | X | + | 2 | ÷ | 2018 | ) |
| = | 2018 2017 | X | − | 1 1008 | + | X | + | 2 | ÷ | 2018 |
| = | 2018 2017 | X | − | 1 1008 | + | X | + | 1 1009 |
The equation is transformed into :
| | 4035 2017 | X | − | 1 1017072 | = | 6 |
Transposition :
| | 4035 2017 | X | = | 6 | + | 1 1017072 |
Combine the items on the right of the equation:
| | 4035 2017 | X | = | 6102433 1017072 |
The coefficient of the unknown number is reduced to 1 :
| | X | = | 6102433 1017072 | ÷ | 4035 2017 |
| | = | 6102433 1017072 | × | 2017 4035 |
We obtained :
| | X | = | 12308607361 4103885520 |
This is the solution of the equation.
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