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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.507-0.493 = (40/x+8.5)-(50/x+6.8) .
    Question type: Equation
    Solution:Original question:
     
507
1000
 −
493
1000
 = (40 ÷ x +
17
2
) − (50 ÷ x +
34
5
)
    Remove a bracket on the right of the equation:：
     
507
1000
 −
493
1000
 = 40 ÷ x +
17
2
 − (50 ÷ x +
34
5
)
    The equation is reduced to :
     
7
500
 = 40 ÷ x +
17
2
 − (50 ÷ x +
34
5
)
     Multiply both sides of the equation by: x
     
7
500
 x = 40 +
17
2
 x − (50 ÷ x +
34
5
) x
    Remove a bracket on the right of the equation:：
     
7
500
 x = 40 +
17
2
 x − 50 ÷ x × x −
34
5
 x
    The equation is reduced to :
     
7
500
 x = 40 +
17
10
 x − 50 ÷ x × x

    Transposition :
     
7
500
 x −
17
10
 x = 40 − 50 ÷ 1 × 1

    Calculate the items on the right of the equation:
     
7
500
 x −
17
10
 x = 40 − 50

    Combine the items on the left of the equation:
      -
843
500
 x = 40 − 50

    Combine the items on the right of the equation:
      -
843
500
 x = - 10

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     10 =
843
500
 x

    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 :
     
843
500
 x = 10

    The coefficient of the unknown number is reduced to 1 :
      x = 10 ÷
843
500
        = 10 ×
500
843

    We obtained :
      x =
5000
843
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5.931198



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