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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 (154+444.5)/31*x+186/31*(x+15)+93/31*(x+30) = 2503 .
    Question type: Equation
    Solution:Original question:
     (154 +
889
2
) ÷ 31 × x + 186 ÷ 31 × ( x + 15) + 93 ÷ 31 × ( x + 30) = 2503
     Left side of the equation = (154 +
889
2
) ×
1
31
x + 6( x + 15) + 3( x + 30)
    The equation is transformed into :
     (154 +
889
2
) ×
1
31
x + 6( x + 15) + 3( x + 30) = 2503
    Remove the bracket on the left of the equation:
     Left side of the equation = 154 ×
1
31
x +
889
2
×
1
31
x + 6( x + 15) + 3( x + 30)
                                             =
154
31
x +
889
62
x + 6( x + 15) + 3( x + 30)
                                             =
1197
62
x + 6( x + 15) + 3( x + 30)
                                             =
1197
62
x + 6 x + 6 × 15 + 3( x + 30)
                                             =
1197
62
x + 6 x + 90 + 3( x + 30)
                                             =
1569
62
x + 90 + 3( x + 30)
                                             =
1569
62
x + 90 + 3 x + 3 × 30
                                             =
1569
62
x + 90 + 3 x + 90
                                             =
1755
62
x + 180
    The equation is transformed into :
     
1755
62
x + 180 = 2503

    Transposition :
     
1755
62
x = 2503180

    Combine the items on the right of the equation:
     
1755
62
x = 2323

    The coefficient of the unknown number is reduced to 1 :
      x = 2323 ÷
1755
62
        = 2323 ×
62
1755

    We obtained :
      x =
144026
1755
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 82.066097



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