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    Work: Find the solution of equation (x-100)/100+24% = (x-85)/85 .
    Question type: Equation
    Solution:Original question:

(

x

−

100

)

÷

100

+

24 100

=

(

x

−

85

)

÷

85

    Remove the bracket on the left of the equation:

Left side of the equation =

x

×

1 100

−

100

×

1 100

+

24 100

=

x

×

1 100

−

1

+

24 100

=

1 100

x

−

19 25

    The equation is transformed into :

1 100

x

−

19 25

=

(

x

−

85

)

÷

85

    Remove the bracket on the right of the equation:

Right side of the equation =

x

×

1 85

−

85

×

1 85

=

x

×

1 85

−

1

    The equation is transformed into :

1 100

x

−

19 25

=

1 85

x

−

1

    Transposition :

1 100

x

−

1 85

x

=

-

1

+

19 25

    Combine the items on the left of the equation:

-

3 1700

x

=

-

1

+

19 25

    Combine the items on the right of the equation:

-

3 1700

x

=

-

6 25

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

6 25

=

3 1700

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 :

3 1700

x

=

6 25

    The coefficient of the unknown number is reduced to 1 :

x

=

6 25

÷

3 1700

=

6 25

×

1700 3

=

2

×

68

    We obtained :

x

=

136

    This is the solution of the equation.

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