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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 11% = 0.6*(1+X)/12*(1-6%)+x .
    Question type: Equation
    Solution:Original question:
     
11
100
=
3
5
(1 + X ) ÷ 12 × (1
6
100
) + X
     Right side of the equation =
1
20
(1 + X )(1
6
100
) + X
    The equation is transformed into :
     
11
100
=
1
20
(1 + X )(1
6
100
) + X
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
20
× 1(1
6
100
) +
1
20
X (1
6
100
) + X
                                               =
1
20
(1
6
100
) +
1
20
X (1
6
100
) + X
                                               =
1
20
× 1
1
20
×
6
100
+
1
20
X (1
6
100
) + X
                                               =
1
20
3
1000
+
1
20
X (1
6
100
) + X
                                               =
47
1000
+
1
20
X (1
6
100
) + X
                                               =
47
1000
+
1
20
X × 1
1
20
X ×
6
100
+ X
                                               =
47
1000
+
1
20
X
3
1000
X + X
                                               =
47
1000
+
1047
1000
X
    The equation is transformed into :
     
11
100
=
47
1000
+
1047
1000
X

    Transposition :
      -
1047
1000
X =
47
1000
11
100

    Combine the items on the right of the equation:
      -
1047
1000
X = -
63
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
63
1000
=
1047
1000
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 :
     
1047
1000
X =
63
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
63
1000
÷
1047
1000
        =
63
1000
×
1000
1047
        = 21 ×
1
349

    We obtained :
      X =
21
349
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.060172



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