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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 （0.75X-461.25-240）/500 = （0.75X-281.25-240）/750 .
    Question type: Equation
    Solution:Original question:
     (
3
4
 X −
1845
4
 − 240) ÷ 500 = (
3
4
 X −
1125
4
 − 240) ÷ 750
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
4
 X ×
1
500
 −
1845
4
 ×
1
500
 − 240 ×
1
500
                                             =
3
2000
 X −
369
400
 −
12
25
                                             =
3
2000
 X −
561
400
    The equation is transformed into :
     
3
2000
 X −
561
400
 = (
3
4
 X −
1125
4
 − 240) ÷ 750
    Remove the bracket on the right of the equation:
     Right side of the equation =
3
4
 X ×
1
750
 −
1125
4
 ×
1
750
 − 240 ×
1
750
                                               =
1
1000
 X −
3
8
 −
8
25
                                               =
1
1000
 X −
139
200
    The equation is transformed into :
     
3
2000
 X −
561
400
 =
1
1000
 X −
139
200

    Transposition :
     
3
2000
 X −
1
1000
 X = -
139
200
 +
561
400

    Combine the items on the left of the equation:
     
1
2000
 X = -
139
200
 +
561
400

    Combine the items on the right of the equation:
     
1
2000
 X =
283
400

    The coefficient of the unknown number is reduced to 1 :
      X =
283
400
 ÷
1
2000
        =
283
400
 × 2000
        = 283 × 5

    We obtained :
      X = 1415
    This is the solution of the equation.



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