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    Work: Find the solution of equation （74.66*（1+20%））+（x*5%） = x .
    Question type: Equation
    Solution:Original question:

(

3733 50

(

1

+

20 100

)

)

+

(

x

×

5 100

)

=

x

    Remove the bracket on the left of the equation:

Left side of the equation =

3733 50

(

1

+

20 100

)

+

(

x

×

5 100

)

=

3733 50

×

1

+

3733 50

×

20 100

+

(

x

×

5 100

)

=

3733 50

+

3733 250

+

(

x

×

5 100

)

=

11199 125

+

(

x

×

5 100

)

=

11199 125

+

x

×

5 100

    The equation is transformed into :

11199 125

+

5 100

x

=

x

    Transposition :

5 100

x

−

x

=

-

11199 125

    Combine the items on the left of the equation:

-

19 20

x

=

-

11199 125

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

11199 125

=

19 20

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 :

19 20

x

=

11199 125

    The coefficient of the unknown number is reduced to 1 :

x

=

11199 125

÷

19 20

=

11199 125

×

20 19

=

11199 25

×

4 19

    We obtained :

x

=

44796 475

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

94.307368

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