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    Work: Find the solution of equation 0.8335x/(1-0.8335X) = 0.3 .
    Question type: Equation
    Solution:Original question:

1667 2000

x

÷

(

1

−

1667 2000

x

)

=

3 10

Multiply both sides of the equation by:

(

1

−

1667 2000

x

)

1667 2000

x

=

3 10

(

1

−

1667 2000

x

)

    Remove a bracket on the right of the equation:：

1667 2000

x

=

3 10

×

1

−

3 10

×

1667 2000

x

    The equation is reduced to :

1667 2000

x

=

3 10

−

5001 20000

x

    Transposition :

1667 2000

x

+

5001 20000

x

=

3 10

    Combine the items on the left of the equation:

21671 20000

x

=

3 10

    The coefficient of the unknown number is reduced to 1 :

x

=

3 10

÷

21671 20000

=

3 10

×

20000 21671

=

3

×

2000 21671

    We obtained :

x

=

6000 21671

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

0.276868

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