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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 （3x+2001）/2007 = （3x+4014）/2010-(2007+3x)/2013 .
    Question type: Equation
    Solution:Original question:
     (3 x + 2001) ÷ 2007 = (3 x + 4014) ÷ 2010 − (2007 + 3 x ) ÷ 2013
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 x ×
1
2007
 + 2001 ×
1
2007
                                             =
1
669
 x +
667
669
    The equation is transformed into :
     
1
669
 x +
667
669
 = (3 x + 4014) ÷ 2010 − (2007 + 3 x ) ÷ 2013
    Remove the bracket on the right of the equation:
     Right side of the equation = 3 x ×
1
2010
 + 4014 ×
1
2010
 − (2007 + 3 x ) ×
1
2013
                                               =
1
670
 x +
669
335
 − (2007 + 3 x ) ×
1
2013
                                               =
1
670
 x +
669
335
 − 2007 ×
1
2013
 − 3 x ×
1
2013
                                               =
1
670
 x +
669
335
 −
669
671
 −
1
671
 x
                                               =
1
449570
 x +
224784
224785
    The equation is transformed into :
     
1
669
 x +
667
669
 =
1
449570
 x +
224784
224785

    Transposition :
     
1
669
 x −
1
449570
 x =
224784
224785
 −
667
669

    Combine the items on the left of the equation:
     
448901
300762330
 x =
224784
224785
 −
667
669

    Combine the items on the right of the equation:
     
448901
300762330
 x =
448901
150381165

    The coefficient of the unknown number is reduced to 1 :
      x =
448901
150381165
 ÷
448901
300762330
        =
448901
150381165
 ×
300762330
448901
        =
757
223
 ×
446
757

    We obtained :
      x =
337622
168811
    This is the solution of the equation.

    By reducing fraction, we can get:
      x = 2



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