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    Work: Find the solution of equation （6x+180）:(5x+30) = 18:11 .
    Question type: Equation
    Solution:Original question:

(

6

x

+

180

)

÷

(

5

x

+

30

)

=

18

÷

11

Multiply both sides of the equation by:

(

5

x

+

30

)

(

6

x

+

180

)

=

18

÷

11

×

(

5

x

+

30

)

    Remove a bracket on the left of the equation:：

6

x

+

180

=

18

÷

11

×

(

5

x

+

30

)

    Remove a bracket on the right of the equation:：

6

x

+

180

=

18

÷

11

×

5

x

+

18

÷

11

×

30

    The equation is reduced to :

6

x

+

180

=

90 11

x

+

540 11

    Transposition :

6

x

−

90 11

x

=

540 11

−

180

    Combine the items on the left of the equation:

-

24 11

x

=

540 11

−

180

    Combine the items on the right of the equation:

-

24 11

x

=

-

1440 11

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

1440 11

=

24 11

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 :

24 11

x

=

1440 11

    The coefficient of the unknown number is reduced to 1 :

x

=

1440 11

÷

24 11

=

1440 11

×

11 24

=

60

×

1

    We obtained :

x

=

60

    This is the solution of the equation.

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