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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 (187+313)/31*x+234/31*(x+15)+106.5/31(x+30) = 1208 .
    Question type: Equation
    Solution:Original question:
     (187 + 313) ÷ 31 × x + 234 ÷ 31 × ( x + 15) +
213
2
 ÷ 31 × ( x + 30) = 1208
     Left side of the equation = (187 + 313) ×
1
31
 x +
234
31
( x + 15) +
213
62
( x + 30)
    The equation is transformed into :
     (187 + 313) ×
1
31
 x +
234
31
( x + 15) +
213
62
( x + 30) = 1208
    Remove the bracket on the left of the equation:
     Left side of the equation = 187 ×
1
31
 x + 313 ×
1
31
 x +
234
31
( x + 15) +
213
62
( x + 30)
                                             =
187
31
 x +
313
31
 x +
234
31
( x + 15) +
213
62
( x + 30)
                                             =
500
31
 x +
234
31
( x + 15) +
213
62
( x + 30)
                                             =
500
31
 x +
234
31
 x +
234
31
 × 15 +
213
62
( x + 30)
                                             =
500
31
 x +
234
31
 x +
3510
31
 +
213
62
( x + 30)
                                             =
734
31
 x +
3510
31
 +
213
62
( x + 30)
                                             =
734
31
 x +
3510
31
 +
213
62
 x +
213
62
 × 30
                                             =
734
31
 x +
3510
31
 +
213
62
 x +
3195
31
                                             =
1681
62
 x +
6705
31
    The equation is transformed into :
     
1681
62
 x +
6705
31
 = 1208

    Transposition :
     
1681
62
 x = 1208 −
6705
31

    Combine the items on the right of the equation:
     
1681
62
 x =
30743
31

    The coefficient of the unknown number is reduced to 1 :
      x =
30743
31
 ÷
1681
62
        =
30743
31
 ×
62
1681
        = 30743 ×
2
1681

    We obtained :
      x =
61486
1681
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 36.577037



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