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    Work: Find the solution of equation 4x+12 = 6x-52 .
    Question type: Equation
    Solution:Original question:

4

x

+

12

=

6

x

−

52

    Transposition :

4

x

−

6

x

=

-

52

−

12

    Combine the items on the left of the equation:

-

2

x

=

-

52

−

12

    Combine the items on the right of the equation:

-

2

x

=

-

64

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

64

=

2

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 :

2

x

=

64

    The coefficient of the unknown number is reduced to 1 :

x

=

64

÷

2

=

64

×

1 2

=

32

×

1

    We obtained :

x

=

32

    This is the solution of the equation.

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