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    Work: Find the solution of equation （18500+8.44×X）÷（18500+X） = 10 .
    Question type: Equation
    Solution:Original question:

(

18500

+

211 25

X

)

÷

(

18500

+

X

)

=

10

Multiply both sides of the equation by:

(

18500

+

X

)

(

18500

+

211 25

X

)

=

10

(

18500

+

X

)

    Remove a bracket on the left of the equation:：

18500

+

211 25

X

=

10

(

18500

+

X

)

    Remove a bracket on the right of the equation:：

18500

+

211 25

X

=

10

×

18500

+

10

X

    The equation is reduced to :

18500

+

211 25

X

=

185000

+

10

X

    Transposition :

211 25

X

−

10

X

=

185000

−

18500

    Combine the items on the left of the equation:

-

39 25

X

=

185000

−

18500

    Combine the items on the right of the equation:

-

39 25

X

=

166500

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

-

166500

=

39 25

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 :

39 25

X

=

-

166500

    The coefficient of the unknown number is reduced to 1 :

X

=

-

166500

÷

39 25

=

-

166500

×

25 39

=

-

55500

×

25 13

    We obtained :

X

=

-

1387500 13

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

- 106730.769231

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