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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 (15.05-x)/1000+(16-x)/7.5 = (x-0.4)/30 .
    Question type: Equation
    Solution:Original question:
     (
301
20
 − x ) ÷ 1000 + (16 − x ) ÷
15
2
 = ( x −
2
5
) ÷ 30
    Remove the bracket on the left of the equation:
     Left side of the equation =
301
20
 ×
1
1000
 − x ×
1
1000
 + (16 − x ) ×
2
15
                                             =
301
20000
 − x ×
1
1000
 + (16 − x ) ×
2
15
                                             =
301
20000
 −
1
1000
 x + 16 ×
2
15
 − x ×
2
15
                                             =
301
20000
 −
1
1000
 x +
32
15
 − x ×
2
15
                                             =
128903
60000
 −
403
3000
 x
    The equation is transformed into :
     
128903
60000
 −
403
3000
 x = ( x −
2
5
) ÷ 30
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
30
 −
2
5
 ×
1
30
                                               = x ×
1
30
 −
1
75
    The equation is transformed into :
     
128903
60000
 −
403
3000
 x =
1
30
 x −
1
75

    Transposition :
      -
403
3000
 x −
1
30
 x = -
1
75
 −
128903
60000

    Combine the items on the left of the equation:
      -
503
3000
 x = -
1
75
 −
128903
60000

    Combine the items on the right of the equation:
      -
503
3000
 x = -
129703
60000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
129703
60000
 =
503
3000
 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 :
     
503
3000
 x =
129703
60000

    The coefficient of the unknown number is reduced to 1 :
      x =
129703
60000
 ÷
503
3000
        =
129703
60000
 ×
3000
503
        =
129703
20
 ×
1
503

    We obtained :
      x =
129703
10060
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 12.892942



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