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    Work: Find the solution of equation 3x+5 = x/2*4+x/2*6-15 .
    Question type: Equation
    Solution:Original question:

3

x

+

5

=

x

÷

2

×

4

+

x

÷

2

×

6

−

15

Right side of the equation =

x

×

2

+

x

×

3

−

15

=

5

x

−

15

    The equation is transformed into :

3

x

+

5

=

5

x

−

15

    Transposition :

3

x

−

5

x

=

-

15

−

5

    Combine the items on the left of the equation:

-

2

x

=

-

15

−

5

    Combine the items on the right of the equation:

-

2

x

=

-

20

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

20

=

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

=

20

    The coefficient of the unknown number is reduced to 1 :

x

=

20

÷

2

=

20

×

1 2

=

10

×

1

    We obtained :

x

=

10

    This is the solution of the equation.

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