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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 (150+296.5)/30*x+185/30*(x+15)+120/30(x+30) = 1476 .
    Question type: Equation
    Solution:Original question:
     (150 +
593
2
) ÷ 30 × x + 185 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 1476
     Left side of the equation = (150 +
593
2
) ×
1
30
 x +
37
6
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (150 +
593
2
) ×
1
30
 x +
37
6
( x + 15) + 4( x + 30) = 1476
    Remove the bracket on the left of the equation:
     Left side of the equation = 150 ×
1
30
 x +
593
2
 ×
1
30
 x +
37
6
( x + 15) + 4( x + 30)
                                             = 5 x +
593
60
 x +
37
6
( x + 15) + 4( x + 30)
                                             =
893
60
 x +
37
6
( x + 15) + 4( x + 30)
                                             =
893
60
 x +
37
6
 x +
37
6
 × 15 + 4( x + 30)
                                             =
893
60
 x +
37
6
 x +
185
2
 + 4( x + 30)
                                             =
421
20
 x +
185
2
 + 4( x + 30)
                                             =
421
20
 x +
185
2
 + 4 x + 4 × 30
                                             =
421
20
 x +
185
2
 + 4 x + 120
                                             =
501
20
 x +
425
2
    The equation is transformed into :
     
501
20
 x +
425
2
 = 1476

    Transposition :
     
501
20
 x = 1476 −
425
2

    Combine the items on the right of the equation:
     
501
20
 x =
2527
2

    The coefficient of the unknown number is reduced to 1 :
      x =
2527
2
 ÷
501
20
        =
2527
2
 ×
20
501
        = 2527 ×
10
501

    We obtained :
      x =
25270
501
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 50.439122



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