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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 (14)*(x+800)+(14)*(x+500)+18*x/12+7*x/12+108*x = 795780-25600 .
    Question type: Equation
    Solution:Original question:
     (14)( x + 800) + (14)( x + 500) + 18 x ÷ 12 + 7 x ÷ 12 + 108 x = 79578025600
     Left side of the equation = (14)( x + 800) + (14)( x + 500) +
3
2
x +
7
12
x + 108 x
                                             = (14)( x + 800) + (14)( x + 500) +
1321
12
x
    The equation is transformed into :
     (14)( x + 800) + (14)( x + 500) +
1321
12
x = 79578025600
    Remove the bracket on the left of the equation:
     Left side of the equation = 14( x + 800) + (14)( x + 500) +
1321
12
x
                                             = 14 x + 14 × 800 + (14)( x + 500) +
1321
12
x
                                             = 14 x + 11200 + (14)( x + 500) +
1321
12
x
                                             =
1489
12
x + 11200 + (14)( x + 500)
                                             =
1489
12
x + 11200 + 14( x + 500)
                                             =
1489
12
x + 11200 + 14 x + 14 × 500
                                             =
1489
12
x + 11200 + 14 x + 7000
                                             =
1657
12
x + 18200
    The equation is transformed into :
     
1657
12
x + 18200 = 79578025600
     Right side of the equation = 770180
    The equation is transformed into :
     
1657
12
x + 18200 = 770180

    Transposition :
     
1657
12
x = 77018018200

    Combine the items on the right of the equation:
     
1657
12
x = 751980

    The coefficient of the unknown number is reduced to 1 :
      x = 751980 ÷
1657
12
        = 751980 ×
12
1657

    We obtained :
      x =
9023760
1657
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5445.841883



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