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    Work: Find the solution of equation （15+X）/（5+X） = 2 .
    Question type: Equation
    Solution:Original question:

(

15

+

X

)

÷

(

5

+

X

)

=

2

Multiply both sides of the equation by:

(

5

+

X

)

(

15

+

X

)

=

2

(

5

+

X

)

    Remove a bracket on the left of the equation:：

15

+

X

=

2

(

5

+

X

)

    Remove a bracket on the right of the equation:：

15

+

X

=

2

×

5

+

2

X

    The equation is reduced to :

15

+

X

=

10

+

2

X

    Transposition :

X

−

2

X

=

10

−

15

    i.e.

-

X

=

10

−

15

    Combine the items on the left of the equation:

-

X

=

10

−

15

    Combine the items on the right of the equation:

-

X

=

-

5

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

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 :

X

=

5

    This is the solution of the equation.
    This is the solution of the equation.

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