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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 0.4(5+x) = 0.2(20+x) .
    Question type: Equation
    Solution:Original question:
     
2
5
(5 + x ) =
1
5
(20 + x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
2
5
× 5 +
2
5
x
                                             = 2 +
2
5
x
    The equation is transformed into :
     2 +
2
5
x =
1
5
(20 + x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
5
× 20 +
1
5
x
                                               = 4 +
1
5
x
    The equation is transformed into :
     2 +
2
5
x = 4 +
1
5
x

    Transposition :
     
2
5
x
1
5
x = 42

    Combine the items on the left of the equation:
     
1
5
x = 42

    Combine the items on the right of the equation:
     
1
5
x = 2

    The coefficient of the unknown number is reduced to 1 :
      x = 2 ÷
1
5
        = 2 × 5

    We obtained :
      x = 10
    This is the solution of the equation.



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