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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 (160+383.5)/30*x+107/30*(x+15)+120/30*(x+30) = 2128 .
    Question type: Equation
    Solution:Original question:
     (160 +
767
2
) ÷ 30 × x + 107 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 2128
     Left side of the equation = (160 +
767
2
) ×
1
30
 x +
107
30
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (160 +
767
2
) ×
1
30
 x +
107
30
( x + 15) + 4( x + 30) = 2128
    Remove the bracket on the left of the equation:
     Left side of the equation = 160 ×
1
30
 x +
767
2
 ×
1
30
 x +
107
30
( x + 15) + 4( x + 30)
                                             =
16
3
 x +
767
60
 x +
107
30
( x + 15) + 4( x + 30)
                                             =
1087
60
 x +
107
30
( x + 15) + 4( x + 30)
                                             =
1087
60
 x +
107
30
 x +
107
30
 × 15 + 4( x + 30)
                                             =
1087
60
 x +
107
30
 x +
107
2
 + 4( x + 30)
                                             =
1301
60
 x +
107
2
 + 4( x + 30)
                                             =
1301
60
 x +
107
2
 + 4 x + 4 × 30
                                             =
1301
60
 x +
107
2
 + 4 x + 120
                                             =
1541
60
 x +
347
2
    The equation is transformed into :
     
1541
60
 x +
347
2
 = 2128

    Transposition :
     
1541
60
 x = 2128 −
347
2

    Combine the items on the right of the equation:
     
1541
60
 x =
3909
2

    The coefficient of the unknown number is reduced to 1 :
      x =
3909
2
 ÷
1541
60
        =
3909
2
 ×
60
1541
        = 3909 ×
30
1541

    We obtained :
      x =
117270
1541
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 76.099935



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