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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+1.1)(1+0.2)+6 = x(1+0.3) .
    Question type: Equation
    Solution:Original question:
     ( x +
11
10
)(1 +
1
5
) + 6 = x (1 +
3
10
)
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 +
1
5
) +
11
10
(1 +
1
5
) + 6
                                             = x × 1 + x ×
1
5
+
11
10
(1 +
1
5
) + 6
                                             =
6
5
x +
11
10
(1 +
1
5
) + 6
                                             =
6
5
x +
11
10
× 1 +
11
10
×
1
5
+ 6
                                             =
6
5
x +
11
10
+
11
50
+ 6
                                             =
6
5
x +
183
25
    The equation is transformed into :
     
6
5
x +
183
25
= x (1 +
3
10
)
    Remove the bracket on the right of the equation:
     Right side of the equation = x × 1 + x ×
3
10
                                               =
13
10
x
    The equation is transformed into :
     
6
5
x +
183
25
=
13
10
x

    Transposition :
     
6
5
x
13
10
x = -
183
25

    Combine the items on the left of the equation:
      -
1
10
x = -
183
25

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
183
25
=
1
10
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 :
     
1
10
x =
183
25

    The coefficient of the unknown number is reduced to 1 :
      x =
183
25
÷
1
10
        =
183
25
× 10
        =
183
5
× 2

    We obtained :
      x =
366
5
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 73.2



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