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Work: Find the solution of equation (26.326+x)×1.95 = 52.652+70.778-x .
Question type: Equation
Solution:Original question:| | ( | 13163 500 | + | x | ) | × | 39 20 | = | 13163 250 | + | 35389 500 | − | x |
Remove the bracket on the left of the equation:
| Left side of the equation = | 13163 500 | × | 39 20 | + | x | × | 39 20 |
The equation is transformed into :
| | 513357 10000 | + | 39 20 | x | = | 13163 250 | + | 35389 500 | − | x |
| Right side of the equation = | 12343 100 | − | x |
The equation is transformed into :
| | 513357 10000 | + | 39 20 | x | = | 12343 100 | − | x |
Transposition :
| | 39 20 | x | + | x | = | 12343 100 | − | 513357 10000 |
Combine the items on the left of the equation:
| | 59 20 | x | = | 12343 100 | − | 513357 10000 |
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
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