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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 14*1.6%+0.7%X+0.35%*110 = 0.35%X+40%*1%*（X-110） .
    Question type: Equation
    Solution:Original question:
     14 ×
8
500
 +
7
1000
 X +
7
2000
 × 110 =
7
2000
 X +
40
100
 ×
1
100
( X − 110)
     Left side of the equation =
28
125
 +
7
1000
 X +
77
200
                                             =
609
1000
 +
7
1000
 X
    The equation is transformed into :
     
609
1000
 +
7
1000
 X =
7
2000
 X +
40
100
 ×
1
100
( X − 110)
     Right side of the equation =
7
2000
 X +
1
250
( X − 110)
    The equation is transformed into :
     
609
1000
 +
7
1000
 X =
7
2000
 X +
1
250
( X − 110)
    Remove the bracket on the right of the equation:
     Right side of the equation =
7
2000
 X +
1
250
 X −
1
250
 × 110
                                               =
7
2000
 X +
1
250
 X −
11
25
                                               =
3
400
 X −
11
25
    The equation is transformed into :
     
609
1000
 +
7
1000
 X =
3
400
 X −
11
25

    Transposition :
     
7
1000
 X −
3
400
 X = -
11
25
 −
609
1000

    Combine the items on the left of the equation:
      -
1
2000
 X = -
11
25
 −
609
1000

    Combine the items on the right of the equation:
      -
1
2000
 X = -
1049
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1049
1000
 =
1
2000
 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 :
     
1
2000
 X =
1049
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
1049
1000
 ÷
1
2000
        =
1049
1000
 × 2000
        = 1049 × 2

    We obtained :
      X = 2098
    This is the solution of the equation.



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