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    Work: Find the solution of equation 450-(450-50)X(334+50) = 237 .
    Question type: Equation
    Solution:Original question:

450

−

(

450

−

50

)

X

(

334

+

50

)

=

237

    Remove the bracket on the left of the equation:

Left side of the equation =

450

−

450

X

(

334

+

50

)

+

50

X

(

334

+

50

)

=

450

−

450

X

×

334

−

450

X

×

50

+

50

X

(

334

+

50

)

=

450

−

150300

X

−

22500

X

+

50

X

(

334

+

50

)

=

450

−

172800

X

+

50

X

(

334

+

50

)

=

450

−

172800

X

+

50

X

×

334

+

50

X

×

50

=

450

−

172800

X

+

16700

X

+

2500

X

=

450

−

153600

X

    The equation is transformed into :

450

−

153600

X

=

237

    Transposition :

-

153600

X

=

237

−

450

    Combine the items on the right of the equation:

-

153600

X

=

-

213

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

213

=

153600

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 :

153600

X

=

213

    The coefficient of the unknown number is reduced to 1 :

X

=

213

÷

153600

=

213

×

1 153600

=

71

×

1 51200

    We obtained :

X

=

71 51200

    This is the solution of the equation.

    Convert the result to decimal form :

X

=

0.001387

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