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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 (166.5+417.5)/31*x+179/31*(x+15)+64/31(x+30) = 1110 .
    Question type: Equation
    Solution:Original question:
     (
333
2
 +
835
2
) ÷ 31 × x + 179 ÷ 31 × ( x + 15) + 64 ÷ 31 × ( x + 30) = 1110
     Left side of the equation = (
333
2
 +
835
2
) ×
1
31
 x +
179
31
( x + 15) +
64
31
( x + 30)
    The equation is transformed into :
     (
333
2
 +
835
2
) ×
1
31
 x +
179
31
( x + 15) +
64
31
( x + 30) = 1110
    Remove the bracket on the left of the equation:
     Left side of the equation =
333
2
 ×
1
31
 x +
835
2
 ×
1
31
 x +
179
31
( x + 15) +
64
31
( x + 30)
                                             =
333
62
 x +
835
62
 x +
179
31
( x + 15) +
64
31
( x + 30)
                                             =
584
31
 x +
179
31
( x + 15) +
64
31
( x + 30)
                                             =
584
31
 x +
179
31
 x +
179
31
 × 15 +
64
31
( x + 30)
                                             =
584
31
 x +
179
31
 x +
2685
31
 +
64
31
( x + 30)
                                             =
763
31
 x +
2685
31
 +
64
31
( x + 30)
                                             =
763
31
 x +
2685
31
 +
64
31
 x +
64
31
 × 30
                                             =
763
31
 x +
2685
31
 +
64
31
 x +
1920
31
                                             =
827
31
 x +
4605
31
    The equation is transformed into :
     
827
31
 x +
4605
31
 = 1110

    Transposition :
     
827
31
 x = 1110 −
4605
31

    Combine the items on the right of the equation:
     
827
31
 x =
29805
31

    The coefficient of the unknown number is reduced to 1 :
      x =
29805
31
 ÷
827
31
        =
29805
31
 ×
31
827
        = 29805 ×
1
827

    We obtained :
      x =
29805
827
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 36.039903



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