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 3(2X+5) = 2(4X+3)+1 .
    Question type: Equation
    Solution:Original question:
     3(2 X + 5) = 2(4 X + 3) + 1
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 × 2 X + 3 × 5
                                             = 6 X + 15
    The equation is transformed into :
     6 X + 15 = 2(4 X + 3) + 1
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 4 X + 2 × 3 + 1
                                               = 8 X + 6 + 1
                                               = 8 X + 7
    The equation is transformed into :
     6 X + 15 = 8 X + 7

    Transposition :
     6 X 8 X = 715

    Combine the items on the left of the equation:
      - 2 X = 715

    Combine the items on the right of the equation:
      - 2 X = - 8

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     8 = 2 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     2 X = 8

    The coefficient of the unknown number is reduced to 1 :
      X = 8 ÷ 2
        = 8 ×
1
2
        = 4 × 1

    We obtained :
      X = 4
    This is the solution of the equation.



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