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 (x+10+x)5 = (x+10+10+x+10)4 .
    Question type: Equation
    Solution:Original question:
     ( x + 10 + x ) × 5 = ( x + 10 + 10 + x + 10) × 4
    Remove the bracket on the left of the equation:
     Left side of the equation = x × 5 + 10 × 5 + x × 5
                                             = x × 5 + 50 + x × 5
                                             = 10 x + 50
    The equation is transformed into :
     10 x + 50 = ( x + 10 + 10 + x + 10) × 4
    Remove the bracket on the right of the equation:
     Right side of the equation = x × 4 + 10 × 4 + 10 × 4 + x × 4 + 10 × 4
                                               = x × 4 + 40 + 40 + x × 4 + 40
                                               = 8 x + 120
    The equation is transformed into :
     10 x + 50 = 8 x + 120

    Transposition :
     10 x 8 x = 12050

    Combine the items on the left of the equation:
     2 x = 12050

    Combine the items on the right of the equation:
     2 x = 70

    The coefficient of the unknown number is reduced to 1 :
      x = 70 ÷ 2
        = 70 ×
1
2
        = 35 × 1

    We obtained :
      x = 35
    This is the solution of the equation.



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