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    Work: Find the solution of equation x/0.68*0.3/{[8395+(8395+x-x/0.68*0.3)]/2} = 5.94 .
    Question type: Equation
    Solution:Original question:

x

÷

17 25

×

3 10

÷

(

(

8395

+

(

8395

+

x

−

x

÷

17 25

×

3 10

)

)

÷

2

)

=

297 50

Multiply both sides of the equation by:

(

(

8395

+

(

8395

+

x

−

x

÷

17 25

×

3 10

)

)

÷

2

)

x

÷

17 25

×

3 10

=

297 50

(

(

8395

+

(

8395

+

x

−

x

÷

17 25

×

3 10

)

)

÷

2

)

    Remove a bracket on the right of the equation:：

x

÷

17 25

×

3 10

=

297 50

(

8395

+

(

8395

+

x

−

x

÷

17 25

×

3 10

)

)

÷

2

    The equation is reduced to :

x

×

15 34

=

297 100

(

8395

+

(

8395

+

x

−

x

÷

17 25

×

3 10

)

)

    Remove a bracket on the right of the equation:：

15 34

x

=

297 100

×

8395

+

297 100

(

8395

+

x

−

x

÷

17 25

×

3 10

)

    The equation is reduced to :

15 34

x

=

498663 20

+

297 100

(

8395

+

x

−

x

÷

17 25

×

3 10

)

    Remove a bracket on the right of the equation:：

15 34

x

=

498663 20

+

297 100

×

8395

+

297 100

x

−

297 100

x

÷

17 25

×

3 10

    The equation is reduced to :

15 34

x

=

498663 20

+

498663 20

+

297 100

x

−

891 680

x

    The equation is reduced to :

15 34

x

=

498663 10

+

5643 3400

x

    Transposition :

15 34

x

−

5643 3400

x

=

498663 10

    Combine the items on the left of the equation:

-

4143 3400

x

=

498663 10

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

-

498663 10

=

4143 3400

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 :

4143 3400

x

=

-

498663 10

    The coefficient of the unknown number is reduced to 1 :

x

=

-

498663 10

÷

4143 3400

=

-

498663 10

×

3400 4143

=

-

166221

×

340 1381

    We obtained :

x

=

-

56515140 1381

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 40923.345402

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