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    Work: Find the solution of equation 3*(N*129*0.2+400) = N*129*0.8-400 .
    Question type: Equation
    Solution:Original question:

3

(

N

×

129

×

1 5

+

400

)

=

N

×

129

×

4 5

−

400

    Remove the bracket on the left of the equation:

Left side of the equation =

3

N

×

129

×

1 5

+

3

×

400

=

387 5

N

+

1200

    The equation is transformed into :

387 5

N

+

1200

=

N

×

129

×

4 5

−

400

Right side of the equation =

N

×

516 5

−

400

    The equation is transformed into :

387 5

N

+

1200

=

516 5

N

−

400

    Transposition :

387 5

N

−

516 5

N

=

-

400

−

1200

    Combine the items on the left of the equation:

-

129 5

N

=

-

400

−

1200

    Combine the items on the right of the equation:

-

129 5

N

=

-

1600

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

1600

=

129 5

N

    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 :

129 5

N

=

1600

    The coefficient of the unknown number is reduced to 1 :

N

=

1600

÷

129 5

=

1600

×

5 129

    We obtained :

N

=

8000 129

    This is the solution of the equation.

    Convert the result to decimal form :

N

=

62.015504

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