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    Work: Find the solution of equation 8+10(6−11x) = −3(18−2x)+6x .
    Question type: Equation
    Solution:Original question:

8

+

10

(

6

−

11

x

)

=

-

3

(

18

−

2

x

)

+

6

x

    Remove the bracket on the left of the equation:

Left side of the equation =

8

+

10

×

6

−

10

×

11

x

=

8

+

60

−

110

x

=

68

−

110

x

    The equation is transformed into :

68

−

110

x

=

-

3

(

18

−

2

x

)

+

6

x

    Remove the bracket on the right of the equation:

Right side of the equation =

-

3

×

18

+

3

×

2

x

+

6

x

=

-

54

+

6

x

+

6

x

=

-

54

+

12

x

    The equation is transformed into :

68

−

110

x

=

-

54

+

12

x

    Transposition :

-

110

x

−

12

x

=

-

54

−

68

    Combine the items on the left of the equation:

-

122

x

=

-

54

−

68

    Combine the items on the right of the equation:

-

122

x

=

-

122

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

122

=

122

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 :

122

x

=

122

    The coefficient of the unknown number is reduced to 1 :

x

=

122

÷

122

=

122

×

1 122

=

1

×

1

    We obtained :

x

=

1

    This is the solution of the equation.

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