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    Work: Find the solution of equation 2(X+2+2+2) = 12+(6*2+8*2+12*2+4X) .
    Question type: Equation
    Solution:Original question:

2

(

X

+

2

+

2

+

2

)

=

12

+

(

6

×

2

+

8

×

2

+

12

×

2

+

4

X

)

    Remove the bracket on the left of the equation:

Left side of the equation =

2

X

+

2

×

2

+

2

×

2

+

2

×

2

=

2

X

+

4

+

4

+

4

=

2

X

+

12

    The equation is transformed into :

2

X

+

12

=

12

+

(

6

×

2

+

8

×

2

+

12

×

2

+

4

X

)

    Remove the bracket on the right of the equation:

Right side of the equation =

12

+

6

×

2

+

8

×

2

+

12

×

2

+

4

X

=

12

+

12

+

16

+

24

+

4

X

=

64

+

4

X

    The equation is transformed into :

2

X

+

12

=

64

+

4

X

    Transposition :

2

X

−

4

X

=

64

−

12

    Combine the items on the left of the equation:

-

2

X

=

64

−

12

    Combine the items on the right of the equation:

-

2

X

=

52

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

-

52

=

2

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 :

2

X

=

-

52

    The coefficient of the unknown number is reduced to 1 :

X

=

-

52

÷

2

=

-

52

×

1 2

=

-

26

×

1

    We obtained :

X

=

-

26

    This is the solution of the equation.

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