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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 (199+240)/30*x+226/30*(x+15)+120/30(x+30) = 1593 .
    Question type: Equation
    Solution:Original question:
     (199 + 240) ÷ 30 × x + 226 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 1593
     Left side of the equation = (199 + 240) ×
1
30
x +
113
15
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (199 + 240) ×
1
30
x +
113
15
( x + 15) + 4( x + 30) = 1593
    Remove the bracket on the left of the equation:
     Left side of the equation = 199 ×
1
30
x + 240 ×
1
30
x +
113
15
( x + 15) + 4( x + 30)
                                             =
199
30
x + 8 x +
113
15
( x + 15) + 4( x + 30)
                                             =
439
30
x +
113
15
( x + 15) + 4( x + 30)
                                             =
439
30
x +
113
15
x +
113
15
× 15 + 4( x + 30)
                                             =
439
30
x +
113
15
x + 113 + 4( x + 30)
                                             =
133
6
x + 113 + 4( x + 30)
                                             =
133
6
x + 113 + 4 x + 4 × 30
                                             =
133
6
x + 113 + 4 x + 120
                                             =
157
6
x + 233
    The equation is transformed into :
     
157
6
x + 233 = 1593

    Transposition :
     
157
6
x = 1593233

    Combine the items on the right of the equation:
     
157
6
x = 1360

    The coefficient of the unknown number is reduced to 1 :
      x = 1360 ÷
157
6
        = 1360 ×
6
157

    We obtained :
      x =
8160
157
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 51.974522



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