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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 12x+（x÷6）+3x-3×790+（2x-1580）÷3+(x-930)×29+(5x-4650)÷4+15000+2500+750 = 368661.96 .
    Question type: Equation
    Solution:Original question:
     12 x + ( x ÷ 6) + 3 x − 3 × 790 + (2 x − 1580) ÷ 3 + ( x − 930) × 29 + (5 x − 4650) =
9216549
25
     Left side of the equation = 12 x + ( x ÷ 6) + 3 x − 2370 + (2 x − 1580) ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             = 15 x + ( x ÷ 6) + 15880 + (2 x − 1580) ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
    The equation is transformed into :
     15 x + ( x ÷ 6) + 15880 + (2 x − 1580) ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
 =
9216549
25
    Remove the bracket on the left of the equation:
     Left side of the equation = 15 x + x ÷ 6 + 15880 + (2 x − 1580) ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             =
91
6
 x + 15880 + (2 x − 1580) ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             =
91
6
 x + 15880 + 2 x ×
1
3
 − 1580 ×
1
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             =
91
6
 x + 15880 +
2
3
 x −
1580
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             =
95
6
 x +
46060
3
 + ( x − 930) × 29 + (5 x − 4650) ×
1
4
                                             =
95
6
 x +
46060
3
 + x × 29 − 930 × 29 + (5 x − 4650) ×
1
4
                                             =
95
6
 x +
46060
3
 + x × 29 − 26970 + (5 x − 4650) ×
1
4
                                             =
269
6
 x −
34850
3
 + (5 x − 4650) ×
1
4
                                             =
269
6
 x −
34850
3
 + 5 x ×
1
4
 − 4650 ×
1
4
                                             =
269
6
 x −
34850
3
 +
5
4
 x −
2325
2
                                             =
553
12
 x −
76675
6
    The equation is transformed into :
     
553
12
 x −
76675
6
 =
9216549
25

    Transposition :
     
553
12
 x =
9216549
25
 +
76675
6

    Combine the items on the right of the equation:
     
553
12
 x =
57216169
150

    The coefficient of the unknown number is reduced to 1 :
      x =
57216169
150
 ÷
553
12
        =
57216169
150
 ×
12
553
        =
57216169
25
 ×
2
553

    We obtained :
      x =
114432338
13825
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 8277.203472



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