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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 (148+368)/31*x+141/31*(x+15)+124/31*(x+30) = 1065 .
    Question type: Equation
    Solution:Original question:
     (148 + 368) ÷ 31 × x + 141 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1065
     Left side of the equation = (148 + 368) ×
1
31
x +
141
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (148 + 368) ×
1
31
x +
141
31
( x + 15) + 4( x + 30) = 1065
    Remove the bracket on the left of the equation:
     Left side of the equation = 148 ×
1
31
x + 368 ×
1
31
x +
141
31
( x + 15) + 4( x + 30)
                                             =
148
31
x +
368
31
x +
141
31
( x + 15) + 4( x + 30)
                                             =
516
31
x +
141
31
( x + 15) + 4( x + 30)
                                             =
516
31
x +
141
31
x +
141
31
× 15 + 4( x + 30)
                                             =
516
31
x +
141
31
x +
2115
31
+ 4( x + 30)
                                             =
657
31
x +
2115
31
+ 4( x + 30)
                                             =
657
31
x +
2115
31
+ 4 x + 4 × 30
                                             =
657
31
x +
2115
31
+ 4 x + 120
                                             =
781
31
x +
5835
31
    The equation is transformed into :
     
781
31
x +
5835
31
= 1065

    Transposition :
     
781
31
x = 1065
5835
31

    Combine the items on the right of the equation:
     
781
31
x =
27180
31

    The coefficient of the unknown number is reduced to 1 :
      x =
27180
31
÷
781
31
        =
27180
31
×
31
781
        = 27180 ×
1
781

    We obtained :
      x =
27180
781
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 34.801536



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