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    Work: Find the solution of equation X/(X-51.75) = 2.71 .
    Question type: Equation
    Solution:Original question:

X

÷

(

X

−

207 4

)

=

271 100

Multiply both sides of the equation by:

(

X

−

207 4

)

X

=

271 100

(

X

−

207 4

)

    Remove a bracket on the right of the equation:：

X

=

271 100

X

−

271 100

×

207 4

    The equation is reduced to :

X

=

271 100

X

−

56097 400

    Transposition :

X

−

271 100

X

=

-

56097 400

    Combine the items on the left of the equation:

-

171 100

X

=

-

56097 400

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

56097 400

=

171 100

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 :

171 100

X

=

56097 400

    The coefficient of the unknown number is reduced to 1 :

X

=

56097 400

÷

171 100

=

56097 400

×

100 171

=

6233 4

×

1 19

    We obtained :

X

=

6233 76

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

82.013158

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