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    Work: Find the solution of equation (X-40)×(150-5×60/10) = 5600 .
    Question type: Equation
    Solution:Original question:

(

X

−

40

)

(

150

−

5

×

60

÷

10

)

=

5600

    Remove the bracket on the left of the equation:

Left side of the equation =

X

(

150

−

5

×

60

÷

10

)

−

40

(

150

−

5

×

60

÷

10

)

=

X

×

150

−

X

×

5

×

60

÷

10

−

40

(

150

−

5

×

60

÷

10

)

=

X

×

150

−

X

×

30

−

40

(

150

−

5

×

60

÷

10

)

=

120

X

−

40

(

150

−

5

×

60

÷

10

)

=

120

X

−

40

×

150

+

40

×

5

×

60

÷

10

=

120

X

−

6000

+

1200

=

120

X

−

4800

    The equation is transformed into :

120

X

−

4800

=

5600

    Transposition :

120

X

=

5600

+

4800

    Combine the items on the right of the equation:

120

X

=

10400

    The coefficient of the unknown number is reduced to 1 :

X

=

10400

÷

120

=

10400

×

1 120

=

260

×

1 3

    We obtained :

X

=

260 3

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

86.666667

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