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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 (x-500)*(1-25%)-55/100 = (x-200)-(1*25%)-55/200 .
    Question type: Equation
    Solution:Original question:
     ( x − 500)(1 −
25
100
) − 55 ÷ 100 = ( x − 200) − (1 ×
25
100
) − 55 ÷ 200
     Left side of the equation = ( x − 500)(1 −
25
100
) −
11
20
    The equation is transformed into :
     ( x − 500)(1 −
25
100
) −
11
20
 = ( x − 200) − (1 ×
25
100
) − 55 ÷ 200
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 −
25
100
) − 500(1 −
25
100
) −
11
20
                                             = x × 1 − x ×
25
100
 − 500(1 −
25
100
) −
11
20
                                             =
3
4
 x − 500(1 −
25
100
) −
11
20
                                             =
3
4
 x − 500 × 1 + 500 ×
25
100
 −
11
20
                                             =
3
4
 x − 500 + 125 −
11
20
                                             =
3
4
 x −
7511
20
    The equation is transformed into :
     
3
4
 x −
7511
20
 = ( x − 200) − (1 ×
25
100
) − 55 ÷ 200
     Right side of the equation = ( x − 200) − (1 ×
25
100
) −
11
40
    The equation is transformed into :
     
3
4
 x −
7511
20
 = ( x − 200) − (1 ×
25
100
) −
11
40
    Remove the bracket on the right of the equation:
     Right side of the equation = x − 200 − (1 ×
25
100
) −
11
40
                                               = x −
8011
40
 − (1 ×
25
100
)
                                               = x −
8011
40
 − 1 ×
25
100
                                               = x −
8011
40
 −
1
4
                                               = x −
8021
40
    The equation is transformed into :
     
3
4
 x −
7511
20
 = x −
8021
40

    Transposition :
     
3
4
 x − x = -
8021
40
 +
7511
20

    Combine the items on the left of the equation:
     - 
1
4
 x = -
8021
40
 +
7511
20

    Combine the items on the right of the equation:
     - 
1
4
 x =
7001
40

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
7001
40
 =
1
4
 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
4
 x = -
7001
40

    The coefficient of the unknown number is reduced to 1 :
      x = -
7001
40
 ÷
1
4
        = -
7001
40
 × 4
        = -
7001
10
 × 1

    We obtained :
      x = -
7001
10
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 700.1



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