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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-10%)/(12%-10%) = (0-50000)/(-10000-50000) .
    Question type: Equation
    Solution:Original question:
     ( x
10
100
) ÷ (
12
100
10
100
) = (050000) ÷ ( - 1000050000)
     Multiply both sides of the equation by:(
12
100
10
100
) ,  ( - 1000050000)
     ( x
10
100
)( - 1000050000) = (050000)(
12
100
10
100
)
    Remove a bracket on the left of the equation::
      x ( - 1000050000)
10
100
( - 1000050000) = (050000)(
12
100
10
100
)
    Remove a bracket on the right of the equation::
      x ( - 1000050000)
10
100
( - 1000050000) = 0(
12
100
10
100
)50000(
12
100
10
100
)
    Remove a bracket on the left of the equation:
      - x × 10000 x × 50000
10
100
( - 1000050000) = 0(
12
100
10
100
)50000(
12
100
10
100
)
    Remove a bracket on the right of the equation::
      - x × 10000 x × 50000
10
100
( - 1000050000) = 0 ×
12
100
0 ×
10
100
50000(
12
100
10
100
)
    The equation is reduced to :
      - x × 10000 x × 50000
10
100
( - 1000050000) = 0 0 50000(
12
100
10
100
)
    The equation is reduced to :
      - 60000 x
10
100
( - 1000050000) = 0 50000(
12
100
10
100
)
    Remove a bracket on the left of the equation:
      - 60000 x +
10
100
× 10000 +
10
100
× 50000 = - 50000(
12
100
10
100
)
    Remove a bracket on the right of the equation::
      - 60000 x +
10
100
× 10000 +
10
100
× 50000 = - 50000 ×
12
100
+ 50000 ×
10
100
    The equation is reduced to :
      - 60000 x + 1000 + 5000 = - 6000 + 5000
    The equation is reduced to :
      - 60000 x + 6000 = - 1000

    Transposition :
      - 60000 x = - 10006000

    Combine the items on the right of the equation:
      - 60000 x = - 7000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     7000 = 60000 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 :
     60000 x = 7000

    The coefficient of the unknown number is reduced to 1 :
      x = 7000 ÷ 60000
        = 7000 ×
1
60000
        = 7 ×
1
60

    We obtained :
      x =
7
60
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.116667



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