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    Work: Find the solution of equation 3000/3000-2264.67 = （6-1.5）/（6-X） .
    Question type: Equation
    Solution:Original question:

3000

÷

3000

−

226467 100

=

(

6

−

3 2

)

÷

(

6

−

X

)

Multiply both sides of the equation by:

(

6

−

X

)

3000

÷

3000

×

(

6

−

X

)

−

226467 100

(

6

−

X

)

=

(

6

−

3 2

)

    Remove a bracket on the left of the equation:：

3000

÷

3000

×

6

−

3000

÷

3000

×

X

−

226467 100

(

6

−

X

)

=

(

6

−

3 2

)

    Remove a bracket on the right of the equation:：

3000

÷

3000

×

6

−

3000

÷

3000

×

X

−

226467 100

(

6

−

X

)

=

6

−

3 2

    The equation is reduced to :

6

−

1

X

−

226467 100

(

6

−

X

)

=

6

−

3 2

    The equation is reduced to :

6

−

1

X

−

226467 100

(

6

−

X

)

=

9 2

    Remove a bracket on the left of the equation:

6

−

1

X

−

226467 100

×

6

+

226467 100

X

=

9 2

    The equation is reduced to :

6

−

1

X

−

679401 50

+

226467 100

X

=

9 2

    The equation is reduced to :

-

679101 50

+

226367 100

X

=

9 2

    Transposition :

226367 100

X

=

9 2

+

679101 50

    Combine the items on the right of the equation:

226367 100

X

=

339663 25

    The coefficient of the unknown number is reduced to 1 :

X

=

339663 25

÷

226367 100

=

339663 25

×

100 226367

=

339663

×

4 226367

    We obtained :

X

=

1358652 226367

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

6.001988

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