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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 (5-x)/76.8 = (x-0.75)/11.5+(x-0.7)/3.3 .
    Question type: Equation
    Solution:Original question:
     (5 − x ) ÷
384
5
 = ( x −
3
4
) ÷
23
2
 + ( x −
7
10
) ÷
33
10
    Remove the bracket on the left of the equation:
     Left side of the equation = 5 ×
5
384
 − x ×
5
384
                                             =
25
384
 − x ×
5
384
    The equation is transformed into :
     
25
384
 −
5
384
 x = ( x −
3
4
) ÷
23
2
 + ( x −
7
10
) ÷
33
10
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
2
23
 −
3
4
 ×
2
23
 + ( x −
7
10
) ×
10
33
                                               = x ×
2
23
 −
3
46
 + ( x −
7
10
) ×
10
33
                                               =
2
23
 x −
3
46
 + x ×
10
33
 −
7
10
 ×
10
33
                                               =
2
23
 x −
3
46
 + x ×
10
33
 −
7
33
                                               =
296
759
 x −
421
1518
    The equation is transformed into :
     
25
384
 −
5
384
 x =
296
759
 x −
421
1518

    Transposition :
      -
5
384
 x −
296
759
 x = -
421
1518
 −
25
384

    Combine the items on the left of the equation:
      -
13051
32384
 x = -
421
1518
 −
25
384

    Combine the items on the right of the equation:
      -
13051
32384
 x = -
33269
97152

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
33269
97152
 =
13051
32384
 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 :
     
13051
32384
 x =
33269
97152

    The coefficient of the unknown number is reduced to 1 :
      x =
33269
97152
 ÷
13051
32384
        =
33269
97152
 ×
32384
13051
        =
33269
3
 ×
1
13051

    We obtained :
      x =
33269
39153
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.849718



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