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    Work: Find the solution of equation （3X+9）:（5X+9） = 2:3 .
    Question type: Equation
    Solution:Original question:

(

3

X

+

9

)

÷

(

5

X

+

9

)

=

2

÷

3

Multiply both sides of the equation by:

(

5

X

+

9

)

(

3

X

+

9

)

=

2

÷

3

×

(

5

X

+

9

)

    Remove a bracket on the left of the equation:：

3

X

+

9

=

2

÷

3

×

(

5

X

+

9

)

    Remove a bracket on the right of the equation:：

3

X

+

9

=

2

÷

3

×

5

X

+

2

÷

3

×

9

    The equation is reduced to :

3

X

+

9

=

10 3

X

+

6

    Transposition :

3

X

−

10 3

X

=

6

−

9

    Combine the items on the left of the equation:

-

1 3

X

=

6

−

9

    Combine the items on the right of the equation:

-

1 3

X

=

-

3

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

3

=

1 3

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 :

1 3

X

=

3

    The coefficient of the unknown number is reduced to 1 :

X

=

3

÷

1 3

=

3

×

3

    We obtained :

X

=

9

    This is the solution of the equation.

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