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    Work: Find the solution of equation (x-1)×10+x = （x-1×10+x)×0.2 .
    Question type: Equation
    Solution:Original question:

(

x

−

1

)

×

10

+

x

=

(

x

−

1

×

10

+

x

)

×

1 5

    Remove the bracket on the left of the equation:

Left side of the equation =

x

×

10

−

1

×

10

+

x

=

x

×

10

−

10

+

x

=

11

x

−

10

    The equation is transformed into :

11

x

−

10

=

(

x

−

1

×

10

+

x

)

×

1 5

    Remove the bracket on the right of the equation:

Right side of the equation =

x

×

1 5

−

1

×

10

×

1 5

+

x

×

1 5

=

x

×

1 5

−

2

+

x

×

1 5

=

2 5

x

−

2

    The equation is transformed into :

11

x

−

10

=

2 5

x

−

2

    Transposition :

11

x

−

2 5

x

=

-

2

+

10

    Combine the items on the left of the equation:

53 5

x

=

-

2

+

10

    Combine the items on the right of the equation:

53 5

x

=

8

    The coefficient of the unknown number is reduced to 1 :

x

=

8

÷

53 5

=

8

×

5 53

    We obtained :

x

=

40 53

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

0.754717

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