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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－180）/（1000＋500） = （X－180－4000×8%）/1000 .
    Question type: Equation
    Solution:Original question:
     ( X − 180) ÷ (1000 + 500) = ( X − 180 − 4000 ×
8
100
) ÷ 1000
     Multiply both sides of the equation by:(1000 + 500)
     ( X − 180) = ( X − 180 − 4000 ×
8
100
) ÷ 1000 × (1000 + 500)
    Remove a bracket on the left of the equation:：
      X − 180 = ( X − 180 − 4000 ×
8
100
) ÷ 1000 × (1000 + 500)
    Remove a bracket on the right of the equation:：
      X − 180 = X ÷ 1000 × (1000 + 500) − 180 ÷ 1000 × (1000 + 500) − 4000 ×
8
100
 ÷ 1000 × (1000 + 500)
    The equation is reduced to :
      X − 180 = X ×
1
1000
(1000 + 500) −
9
50
(1000 + 500) −
8
25
(1000 + 500)
    Remove a bracket on the right of the equation:：
      X − 180 = X ×
1
1000
 × 1000 + X ×
1
1000
 × 500 −
9
50
(1000 + 500) −
8
25
(1000 + 500)
    The equation is reduced to :
      X − 180 = X × 1 + X ×
1
2
 −
9
50
(1000 + 500) −
8
25
(1000 + 500)
    The equation is reduced to :
      X − 180 =
3
2
 X −
9
50
(1000 + 500) −
8
25
(1000 + 500)
    Remove a bracket on the right of the equation:：
      X − 180 =
3
2
 X −
9
50
 × 1000 −
9
50
 × 500 −
8
25
(1000 + 500)
    The equation is reduced to :
      X − 180 =
3
2
 X − 180 − 90 −
8
25
(1000 + 500)
    The equation is reduced to :
      X − 180 =
3
2
 X − 270 −
8
25
(1000 + 500)
    Remove a bracket on the right of the equation:：
      X − 180 =
3
2
 X − 270 −
8
25
 × 1000 −
8
25
 × 500
    The equation is reduced to :
      X − 180 =
3
2
 X − 270 − 320 − 160
    The equation is reduced to :
      X − 180 =
3
2
 X − 750

    Transposition :
      X −
3
2
 X = - 750 + 180

    Combine the items on the left of the equation:
      -
1
2
 X = - 750 + 180

    Combine the items on the right of the equation:
      -
1
2
 X = - 570

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     570 =
1
2
 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
2
 X = 570

    The coefficient of the unknown number is reduced to 1 :
      X = 570 ÷
1
2
        = 570 × 2

    We obtained :
      X = 1140
    This is the solution of the equation.



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