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    Work: Find the solution of equation 10X+15（100-X） = 1000 .
    Question type: Equation
    Solution:Original question:

10

X

+

15

(

100

−

X

)

=

1000

    Remove the bracket on the left of the equation:

Left side of the equation =

10

X

+

15

×

100

−

15

X

=

10

X

+

1500

−

15

X

=

-

5

X

+

1500

    The equation is transformed into :

-

5

X

+

1500

=

1000

    Transposition :

-

5

X

=

1000

−

1500

    Combine the items on the right of the equation:

-

5

X

=

-

500

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

500

=

5

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 :

5

X

=

500

    The coefficient of the unknown number is reduced to 1 :

X

=

500

÷

5

=

500

×

1 5

=

100

×

1

    We obtained :

X

=

100

    This is the solution of the equation.

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