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Work: Find the solution of equation 5／7×（3x/8+50） = 3x/8+50 .
Question type: Equation
Solution:Original question:| | 5 | ÷ | 7 | × | ( | 3 | x | ÷ | 8 | + | 50 | ) | = | 3 | x | ÷ | 8 | + | 50 |
| Left side of the equation = | 5 7 | ( | 3 | x | ÷ | 8 | + | 50 | ) |
The equation is transformed into :
| | 5 7 | ( | 3 | x | ÷ | 8 | + | 50 | ) | = | 3 | x | ÷ | 8 | + | 50 |
Remove the bracket on the left of the equation:
| Left side of the equation = | 5 7 | × | 3 | x | ÷ | 8 | + | 5 7 | × | 50 |
The equation is transformed into :
| | 15 56 | x | + | 250 7 | = | 3 | x | ÷ | 8 | + | 50 |
| Right side of the equation = | 3 8 | x | + | 50 |
The equation is transformed into :
| | 15 56 | x | + | 250 7 | = | 3 8 | x | + | 50 |
Transposition :
| | 15 56 | x | − | 3 8 | x | = | 50 | − | 250 7 |
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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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