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    Work: Find the solution of equation 88.6-x/x-58.6 = 1.2/8.8 .
    Question type: Equation
    Solution:Original question:

443 5

−

x

÷

x

−

293 5

=

6 5

÷

44 5

Multiply both sides of the equation by:

x

443 5

x

−

x

−

293 5

x

=

6 5

÷

44 5

×

x

    Transposition :

443 5

x

−

x

−

293 5

x

−

6 5

÷

44 5

×

x

=

0

    Calculate the items on the left of the equation:

443 5

x

−

x

−

293 5

x

−

3 22

x

=

0

    Combine the items on the left of the equation:

635 22

x

=

0

    The coefficient of the unknown number is reduced to 1 :

x

=

0

÷

635 22

=

0

×

22 635

    We obtained :

x

=

0

    However,when simplifying the equation, multiply both sides by x , and when

x

=

0

    , its value is 0. Therefore, the value of this unknown number is not the solution of the equation, and the input to the equation is incorrect.

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