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    Work: Find the solution of equation x÷（100+x） = 26.5 .
    Question type: Equation
    Solution:Original question:

x

÷

(

100

+

x

)

=

53 2

Multiply both sides of the equation by:

(

100

+

x

)

x

=

53 2

(

100

+

x

)

    Remove a bracket on the right of the equation:：

x

=

53 2

×

100

+

53 2

x

    The equation is reduced to :

x

=

2650

+

53 2

x

    Transposition :

x

−

53 2

x

=

2650

    Combine the items on the left of the equation:

-

51 2

x

=

2650

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

-

2650

=

51 2

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 :

51 2

x

=

-

2650

    The coefficient of the unknown number is reduced to 1 :

x

=

-

2650

÷

51 2

=

-

2650

×

2 51

    We obtained :

x

=

-

5300 51

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

- 103.921569

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