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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 (135+281.5)/30*x+208/30*(x+15)+90/30(x+30) = 1436 .
    Question type: Equation
    Solution:Original question:
     (135 +
563
2
) ÷ 30 × x + 208 ÷ 30 × ( x + 15) + 90 ÷ 30 × ( x + 30) = 1436
     Left side of the equation = (135 +
563
2
) ×
1
30
x +
104
15
( x + 15) + 3( x + 30)
    The equation is transformed into :
     (135 +
563
2
) ×
1
30
x +
104
15
( x + 15) + 3( x + 30) = 1436
    Remove the bracket on the left of the equation:
     Left side of the equation = 135 ×
1
30
x +
563
2
×
1
30
x +
104
15
( x + 15) + 3( x + 30)
                                             =
9
2
x +
563
60
x +
104
15
( x + 15) + 3( x + 30)
                                             =
833
60
x +
104
15
( x + 15) + 3( x + 30)
                                             =
833
60
x +
104
15
x +
104
15
× 15 + 3( x + 30)
                                             =
833
60
x +
104
15
x + 104 + 3( x + 30)
                                             =
1249
60
x + 104 + 3( x + 30)
                                             =
1249
60
x + 104 + 3 x + 3 × 30
                                             =
1249
60
x + 104 + 3 x + 90
                                             =
1429
60
x + 194
    The equation is transformed into :
     
1429
60
x + 194 = 1436

    Transposition :
     
1429
60
x = 1436194

    Combine the items on the right of the equation:
     
1429
60
x = 1242

    The coefficient of the unknown number is reduced to 1 :
      x = 1242 ÷
1429
60
        = 1242 ×
60
1429

    We obtained :
      x =
74520
1429
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 52.148355



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