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    Work: Find the solution of equation （509.92+X）/(12812-X) = 10% .
    Question type: Equation
    Solution:Original question:

(

12748 25

+

X

)

÷

(

12812

−

X

)

=

10 100

Multiply both sides of the equation by:

(

12812

−

X

)

(

12748 25

+

X

)

=

10 100

(

12812

−

X

)

    Remove a bracket on the left of the equation:：

12748 25

+

X

=

10 100

(

12812

−

X

)

    Remove a bracket on the right of the equation:：

12748 25

+

X

=

10 100

×

12812

−

10 100

X

    The equation is reduced to :

12748 25

+

X

=

6406 5

−

10 100

X

    Transposition :

X

+

10 100

X

=

6406 5

−

12748 25

    Combine the items on the left of the equation:

11 10

X

=

6406 5

−

12748 25

    Combine the items on the right of the equation:

11 10

X

=

19282 25

    The coefficient of the unknown number is reduced to 1 :

X

=

19282 25

÷

11 10

=

19282 25

×

10 11

=

19282 5

×

2 11

    We obtained :

X

=

38564 55

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

701.163636

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