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    Work: Find the solution of equation x = (150000/1.06*0.06-126000/1.01*0.01)*1.12+(150000-x-126000)*15% .
    Question type: Equation
    Solution:Original question:

x

=

(

150000

÷

53 50

×

3 50

−

126000

÷

101 100

×

1 100

)

×

28 25

+

(

150000

−

x

−

126000

)

×

15 100

    Remove the bracket on the right of the equation:

Right side of the equation =

150000

÷

53 50

×

3 50

×

28 25

−

126000

÷

101 100

×

1 100

×

28 25

+

(

150000

−

x

−

126000

)

×

15 100

=

504000 53

−

141120 101

+

(

150000

−

x

−

126000

)

×

15 100

=

43424640 5353

+

(

150000

−

x

−

126000

)

×

15 100

=

43424640 5353

+

150000

×

15 100

−

x

×

15 100

−

126000

×

15 100

=

43424640 5353

+

22500

−

x

×

15 100

−

18900

=

62695440 5353

−

15 100

x

    The equation is transformed into :

x

=

62695440 5353

−

15 100

x

    Transposition :

x

+

15 100

x

=

62695440 5353

    Combine the items on the left of the equation:

23 20

x

=

62695440 5353

    The coefficient of the unknown number is reduced to 1 :

x

=

62695440 5353

÷

23 20

=

62695440 5353

×

20 23

    We obtained :

x

=

1253908800 123119

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

10184.527165

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