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 (5/16)*(x+4) = (1/4)x+4 .
    Question type: Equation
    Solution:Original question:
     (5 ÷ 16)( x + 4) = (1 ÷ 4) x + 4
    Remove the bracket on the left of the equation:
     Left side of the equation = 5 ÷ 16 × ( x + 4)
                                             =
5
16
( x + 4)
                                             =
5
16
x +
5
16
× 4
                                             =
5
16
x +
5
4
    The equation is transformed into :
     
5
16
x +
5
4
= (1 ÷ 4) x + 4
    Remove the bracket on the right of the equation:
     Right side of the equation = 1 ÷ 4 × x + 4
                                               =
1
4
x + 4
    The equation is transformed into :
     
5
16
x +
5
4
=
1
4
x + 4

    Transposition :
     
5
16
x
1
4
x = 4
5
4

    Combine the items on the left of the equation:
     
1
16
x = 4
5
4

    Combine the items on the right of the equation:
     
1
16
x =
11
4

    The coefficient of the unknown number is reduced to 1 :
      x =
11
4
÷
1
16
        =
11
4
× 16
        = 11 × 4

    We obtained :
      x = 44
    This is the solution of the equation.



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