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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 (180+308.5)/30*x+199/30*(x+15)+104/30(x+30) = 890 .
    Question type: Equation
    Solution:Original question:
     (180 +
617
2
) ÷ 30 × x + 199 ÷ 30 × ( x + 15) + 104 ÷ 30 × ( x + 30) = 890
     Left side of the equation = (180 +
617
2
) ×
1
30
 x +
199
30
( x + 15) +
52
15
( x + 30)
    The equation is transformed into :
     (180 +
617
2
) ×
1
30
 x +
199
30
( x + 15) +
52
15
( x + 30) = 890
    Remove the bracket on the left of the equation:
     Left side of the equation = 180 ×
1
30
 x +
617
2
 ×
1
30
 x +
199
30
( x + 15) +
52
15
( x + 30)
                                             = 6 x +
617
60
 x +
199
30
( x + 15) +
52
15
( x + 30)
                                             =
977
60
 x +
199
30
( x + 15) +
52
15
( x + 30)
                                             =
977
60
 x +
199
30
 x +
199
30
 × 15 +
52
15
( x + 30)
                                             =
977
60
 x +
199
30
 x +
199
2
 +
52
15
( x + 30)
                                             =
275
12
 x +
199
2
 +
52
15
( x + 30)
                                             =
275
12
 x +
199
2
 +
52
15
 x +
52
15
 × 30
                                             =
275
12
 x +
199
2
 +
52
15
 x + 104
                                             =
1583
60
 x +
407
2
    The equation is transformed into :
     
1583
60
 x +
407
2
 = 890

    Transposition :
     
1583
60
 x = 890 −
407
2

    Combine the items on the right of the equation:
     
1583
60
 x =
1373
2

    The coefficient of the unknown number is reduced to 1 :
      x =
1373
2
 ÷
1583
60
        =
1373
2
 ×
60
1583
        = 1373 ×
30
1583

    We obtained :
      x =
41190
1583
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 26.020215



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