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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 (179+310)/30*x+177.5/30*(x+15)+90/30*(x+30) = 1943 .
    Question type: Equation
    Solution:Original question:
     (179 + 310) ÷ 30 × x +
355
2
 ÷ 30 × ( x + 15) + 90 ÷ 30 × ( x + 30) = 1943
     Left side of the equation = (179 + 310) ×
1
30
 x +
71
12
( x + 15) + 3( x + 30)
    The equation is transformed into :
     (179 + 310) ×
1
30
 x +
71
12
( x + 15) + 3( x + 30) = 1943
    Remove the bracket on the left of the equation:
     Left side of the equation = 179 ×
1
30
 x + 310 ×
1
30
 x +
71
12
( x + 15) + 3( x + 30)
                                             =
179
30
 x +
31
3
 x +
71
12
( x + 15) + 3( x + 30)
                                             =
163
10
 x +
71
12
( x + 15) + 3( x + 30)
                                             =
163
10
 x +
71
12
 x +
71
12
 × 15 + 3( x + 30)
                                             =
163
10
 x +
71
12
 x +
355
4
 + 3( x + 30)
                                             =
1333
60
 x +
355
4
 + 3( x + 30)
                                             =
1333
60
 x +
355
4
 + 3 x + 3 × 30
                                             =
1333
60
 x +
355
4
 + 3 x + 90
                                             =
1513
60
 x +
715
4
    The equation is transformed into :
     
1513
60
 x +
715
4
 = 1943

    Transposition :
     
1513
60
 x = 1943 −
715
4

    Combine the items on the right of the equation:
     
1513
60
 x =
7057
4

    The coefficient of the unknown number is reduced to 1 :
      x =
7057
4
 ÷
1513
60
        =
7057
4
 ×
60
1513
        = 7057 ×
15
1513

    We obtained :
      x =
105855
1513
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 69.963648



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