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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 (1+500/1000+X/1650+350/108)*1000 = 3(1560+X) .
    Question type: Equation
    Solution:Original question:
     (1 + 500 ÷ 1000 + X ÷ 1650 + 350 ÷ 108) × 1000 = 3(1560 + X )
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 × 1000 + 500 ÷ 1000 × 1000 + X ÷ 1650 × 1000 + 350 ÷ 108 × 1000
                                             = 1000 + 500 + X ×
20
33
+
87500
27
                                             =
128000
27
+
20
33
X
    The equation is transformed into :
     
128000
27
+
20
33
X = 3(1560 + X )
    Remove the bracket on the right of the equation:
     Right side of the equation = 3 × 1560 + 3 X
                                               = 4680 + 3 X
    The equation is transformed into :
     
128000
27
+
20
33
X = 4680 + 3 X

    Transposition :
     
20
33
X 3 X = 4680
128000
27

    Combine the items on the left of the equation:
      -
79
33
X = 4680
128000
27

    Combine the items on the right of the equation:
      -
79
33
X = -
1640
27

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1640
27
=
79
33
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 :
     
79
33
X =
1640
27

    The coefficient of the unknown number is reduced to 1 :
      X =
1640
27
÷
79
33
        =
1640
27
×
33
79
        =
1640
9
×
11
79

    We obtained :
      X =
18040
711
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 25.372714



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