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

2

(

5

x

+

9

)

=

3

(

3

x

+

9

)

    Remove the bracket on the left of the equation:

Left side of the equation =

2

×

5

x

+

2

×

9

=

10

x

+

18

    The equation is transformed into :

10

x

+

18

=

3

(

3

x

+

9

)

    Remove the bracket on the right of the equation:

Right side of the equation =

3

×

3

x

+

3

×

9

=

9

x

+

27

    The equation is transformed into :

10

x

+

18

=

9

x

+

27

    Transposition :

10

x

−

9

x

=

27

−

18

    i.e.

x

=

27

−

18

    Combine the items on the left of the equation:

x

=

27

−

18

    Combine the items on the right of the equation:

x

=

9

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

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