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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-360)*75%/3800 = (X-660)*75%/2800 .
    Question type: Equation
    Solution:Original question:
     ( X 360) ×
75
100
÷ 3800 = ( X 660) ×
75
100
÷ 2800
     Left side of the equation = ( X 360) ×
3
15200
    The equation is transformed into :
     ( X 360) ×
3
15200
= ( X 660) ×
75
100
÷ 2800
    Remove the bracket on the left of the equation:
     Left side of the equation = X ×
3
15200
360 ×
3
15200
                                             = X ×
3
15200
27
380
    The equation is transformed into :
     
3
15200
X
27
380
= ( X 660) ×
75
100
÷ 2800
     Right side of the equation = ( X 660) ×
3
11200
    The equation is transformed into :
     
3
15200
X
27
380
= ( X 660) ×
3
11200
    Remove the bracket on the right of the equation:
     Right side of the equation = X ×
3
11200
660 ×
3
11200
                                               = X ×
3
11200
99
560
    The equation is transformed into :
     
3
15200
X
27
380
=
3
11200
X
99
560

    Transposition :
     
3
15200
X
3
11200
X = -
99
560
+
27
380

    Combine the items on the left of the equation:
      -
3
42560
X = -
99
560
+
27
380

    Combine the items on the right of the equation:
      -
3
42560
X = -
225
2128

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
225
2128
=
3
42560
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 :
     
3
42560
X =
225
2128

    The coefficient of the unknown number is reduced to 1 :
      X =
225
2128
÷
3
42560
        =
225
2128
×
42560
3
        = 75 × 20

    We obtained :
      X = 1500
    This is the solution of the equation.



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