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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 (124+398)/30*x+180/30*(x+15)+70/30*(x+30) = 1704 .
    Question type: Equation
    Solution:Original question:
     (124 + 398) ÷ 30 × x + 180 ÷ 30 × ( x + 15) + 70 ÷ 30 × ( x + 30) = 1704
     Left side of the equation = (124 + 398) ×
1
30
 x + 6( x + 15) +
7
3
( x + 30)
    The equation is transformed into :
     (124 + 398) ×
1
30
 x + 6( x + 15) +
7
3
( x + 30) = 1704
    Remove the bracket on the left of the equation:
     Left side of the equation = 124 ×
1
30
 x + 398 ×
1
30
 x + 6( x + 15) +
7
3
( x + 30)
                                             =
62
15
 x +
199
15
 x + 6( x + 15) +
7
3
( x + 30)
                                             =
87
5
 x + 6( x + 15) +
7
3
( x + 30)
                                             =
87
5
 x + 6 x + 6 × 15 +
7
3
( x + 30)
                                             =
87
5
 x + 6 x + 90 +
7
3
( x + 30)
                                             =
117
5
 x + 90 +
7
3
( x + 30)
                                             =
117
5
 x + 90 +
7
3
 x +
7
3
 × 30
                                             =
117
5
 x + 90 +
7
3
 x + 70
                                             =
386
15
 x + 160
    The equation is transformed into :
     
386
15
 x + 160 = 1704

    Transposition :
     
386
15
 x = 1704 − 160

    Combine the items on the right of the equation:
     
386
15
 x = 1544

    The coefficient of the unknown number is reduced to 1 :
      x = 1544 ÷
386
15
        = 1544 ×
15
386
        = 772 ×
15
193

    We obtained :
      x =
11580
193
    This is the solution of the equation.

    By reducing fraction, we can get:
      x = 60



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