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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+310)*2*0.63+（x+310)*0.37 = （x+650)*2*0.33+（x+650)*0.67 .
    Question type: Equation
    Solution:Original question:
     ( x + 310) × 2 ×
63
100
 + ( x + 310) ×
37
100
 = ( x + 650) × 2 ×
33
100
 + ( x + 650) ×
67
100
     Left side of the equation = ( x + 310) ×
63
50
 + ( x + 310) ×
37
100
    The equation is transformed into :
     ( x + 310) ×
63
50
 + ( x + 310) ×
37
100
 = ( x + 650) × 2 ×
33
100
 + ( x + 650) ×
67
100
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
63
50
 + 310 ×
63
50
 + ( x + 310) ×
37
100
                                             = x ×
63
50
 +
1953
5
 + ( x + 310) ×
37
100
                                             =
63
50
 x +
1953
5
 + x ×
37
100
 + 310 ×
37
100
                                             =
63
50
 x +
1953
5
 + x ×
37
100
 +
1147
10
                                             =
163
100
 x +
5053
10
    The equation is transformed into :
     
163
100
 x +
5053
10
 = ( x + 650) × 2 ×
33
100
 + ( x + 650) ×
67
100
     Right side of the equation = ( x + 650) ×
33
50
 + ( x + 650) ×
67
100
    The equation is transformed into :
     
163
100
 x +
5053
10
 = ( x + 650) ×
33
50
 + ( x + 650) ×
67
100
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
33
50
 + 650 ×
33
50
 + ( x + 650) ×
67
100
                                               = x ×
33
50
 + 429 + ( x + 650) ×
67
100
                                               =
33
50
 x + 429 + x ×
67
100
 + 650 ×
67
100
                                               =
33
50
 x + 429 + x ×
67
100
 +
871
2
                                               =
133
100
 x +
1729
2
    The equation is transformed into :
     
163
100
 x +
5053
10
 =
133
100
 x +
1729
2

    Transposition :
     
163
100
 x −
133
100
 x =
1729
2
 −
5053
10

    Combine the items on the left of the equation:
     
3
10
 x =
1729
2
 −
5053
10

    Combine the items on the right of the equation:
     
3
10
 x =
1796
5

    The coefficient of the unknown number is reduced to 1 :
      x =
1796
5
 ÷
3
10
        =
1796
5
 ×
10
3
        = 1796 ×
2
3

    We obtained :
      x =
3592
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1197.333333



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