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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 （15-x)/3.3 = (x-0.5-4.2)/4+(x-1.4)/3.33 .
    Question type: Equation
    Solution:Original question:
     (15 − x ) ÷
33
10
 = ( x −
1
2
 −
21
5
) ÷ 4 + ( x −
7
5
) ÷
333
100
    Remove the bracket on the left of the equation:
     Left side of the equation = 15 ×
10
33
 − x ×
10
33
                                             =
50
11
 − x ×
10
33
    The equation is transformed into :
     
50
11
 −
10
33
 x = ( x −
1
2
 −
21
5
) ÷ 4 + ( x −
7
5
) ÷
333
100
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
4
 −
1
2
 ×
1
4
 −
21
5
 ×
1
4
 + ( x −
7
5
) ×
100
333
                                               = x ×
1
4
 −
1
8
 −
21
20
 + ( x −
7
5
) ×
100
333
                                               =
1
4
 x −
47
40
 + ( x −
7
5
) ×
100
333
                                               =
1
4
 x −
47
40
 + x ×
100
333
 −
7
5
 ×
100
333
                                               =
1
4
 x −
47
40
 + x ×
100
333
 −
140
333
                                               =
733
1332
 x −
21251
13320
    The equation is transformed into :
     
50
11
 −
10
33
 x =
733
1332
 x −
21251
13320

    Transposition :
      -
10
33
 x −
733
1332
 x = -
21251
13320
 −
50
11

    Combine the items on the left of the equation:
      -
12503
14652
 x = -
21251
13320
 −
50
11

    Combine the items on the right of the equation:
      -
12503
14652
 x = -
899761
146520

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
899761
146520
 =
12503
14652
 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 :
     
12503
14652
 x =
899761
146520

    The coefficient of the unknown number is reduced to 1 :
      x =
899761
146520
 ÷
12503
14652
        =
899761
146520
 ×
14652
12503
        =
899761
10
 ×
1
12503

    We obtained :
      x =
899761
125030
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 7.196361



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