Mathematics
         
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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 2{[2(x+11)+6]+16}+5 = 61 .
    Question type: Equation
    Solution:Original question:
     2((2( x + 11) + 6) + 16) + 5 = 61
    Remove the bracket on the left of the equation:
     Left side of the equation = 2(2( x + 11) + 6) + 2 × 16 + 5
                                             = 2(2( x + 11) + 6) + 32 + 5
                                             = 2(2( x + 11) + 6) + 37
                                             = 2 × 2( x + 11) + 2 × 6 + 37
                                             = 4( x + 11) + 12 + 37
                                             = 4( x + 11) + 49
                                             = 4 x + 4 × 11 + 49
                                             = 4 x + 44 + 49
                                             = 4 x + 93
    The equation is transformed into :
     4 x + 93 = 61

    Transposition :
     4 x = 6193

    Combine the items on the right of the equation:
     4 x = - 32

    The coefficient of the unknown number is reduced to 1 :
      x = - 32 ÷ 4
        = - 32 ×
1
4
        = - 8 × 1

    We obtained :
      x = - 8
    This is the solution of the equation.



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