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    Work: Find the solution of equation 2/（x-5） = 300 .
    Question type: Equation
    Solution:Original question:

2

÷

(

x

−

5

)

=

300

Multiply both sides of the equation by:

(

x

−

5

)

2

=

300

(

x

−

5

)

    Remove a bracket on the right of the equation:：

2

=

300

x

−

300

×

5

    The equation is reduced to :

2

=

300

x

−

1500

    Transposition :

-

300

x

=

-

1500

−

2

    Combine the items on the right of the equation:

-

300

x

=

-

1502

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

1502

=

300

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 :

300

x

=

1502

    The coefficient of the unknown number is reduced to 1 :

x

=

1502

÷

300

=

1502

×

1 300

=

751

×

1 150

    We obtained :

x

=

751 150

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

5.006667

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