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    Work: Find the solution of equation 10-5（2x-1） = 15（x+1） .
    Question type: Equation
    Solution:Original question:

10

−

5

(

2

x

−

1

)

=

15

(

x

+

1

)

    Remove the bracket on the left of the equation:

Left side of the equation =

10

−

5

×

2

x

+

5

×

1

=

10

−

10

x

+

5

=

15

−

10

x

    The equation is transformed into :

15

−

10

x

=

15

(

x

+

1

)

    Remove the bracket on the right of the equation:

Right side of the equation =

15

x

+

15

×

1

=

15

x

+

15

    The equation is transformed into :

15

−

10

x

=

15

x

+

15

    Transposition :

-

10

x

−

15

x

=

15

−

15

    Combine the items on the left of the equation:

-

25

x

=

15

−

15

    Combine the items on the right of the equation:

-

25

x

=

0

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

-

0

=

25

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 :

25

x

=

-

0

    The coefficient of the unknown number is reduced to 1 :

x

=

-

0

÷

25

=

-

0

×

1 25

    We obtained :

x

=

0

    This is the solution of the equation.

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