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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (X-1000*8%)*(1-25%)/(4500+1000) = (X-1000*8%)*(1-25%)/(4500+1000) .
    Question type: Equation
    Solution:Original question:
     ( X − 1000 ×
8
100
)(1 −
25
100
) ÷ (4500 + 1000) = ( X − 1000 ×
8
100
)(1 −
25
100
) ÷ (4500 + 1000)
     Multiply both sides of the equation by:(4500 + 1000) ,  (4500 + 1000)
     ( X − 1000 ×
8
100
)(1 −
25
100
)(4500 + 1000) = ( X − 1000 ×
8
100
)(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the left of the equation::
      X (1 −
25
100
)(4500 + 1000) − 1000 ×
8
100
(1 −
25
100
)(4500 + 1000) = ( X − 1000 ×
8
100
)(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation::
      X (1 −
25
100
)(4500 + 1000) − 1000 ×
8
100
(1 −
25
100
)(4500 + 1000) = X (1 −
25
100
)(4500 + 1000) − 1000 ×
8
100
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
      X (1 −
25
100
)(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X (1 −
25
100
)(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the left of the equation:
      X × 1(4500 + 1000) − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X (1 −
25
100
)(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation::
      X × 1(4500 + 1000) − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X × 1(4500 + 1000) − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the left of the equation:
      X × 1 × 4500 + X × 1 × 1000 − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X × 1(4500 + 1000) − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation::
      X × 1 × 4500 + X × 1 × 1000 − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X × 1 × 4500 + X × 1 × 1000 − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
      X × 4500 + X × 1000 − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = X × 4500 + X × 1000 − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     5500 X − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000) = 5500 X − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the left of the equation:
     5500 X − X ×
25
100
× 4500 − X ×
25
100
× 1000 − 80(1 −
25
100
)(4500 + 1000) = 5500 X − X ×
25
100
(4500 + 1000) − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation::
     5500 X − X ×
25
100
× 4500 − X ×
25
100
× 1000 − 80(1 −
25
100
)(4500 + 1000) = 5500 X − X ×
25
100
× 4500 − X ×
25
100
× 1000 − 80(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     5500 X − X × 1125 − X × 250 − 80(1 −
25
100
)(4500 + 1000) = 5500 X − X × 1125 − X × 250 − 80(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     4125 X − 80(1 −
25
100
)(4500 + 1000) = 4125 X − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the left of the equation:
     4125 X − 80 × 1(4500 + 1000) + 80 ×
25
100
(4500 + 1000) = 4125 X − 80(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation::
     4125 X − 80 × 1(4500 + 1000) + 80 ×
25
100
(4500 + 1000) = 4125 X − 80 × 1(4500 + 1000) + 80 ×
25
100
(4500 + 1000)
    The equation is reduced to :
     4125 X − 80(4500 + 1000) + 20(4500 + 1000) = 4125 X − 80(4500 + 1000) + 20(4500 + 1000)
    Remove a bracket on the left of the equation:
     4125 X − 80 × 4500 − 80 × 1000 + 20(4500 + 1000) = 4125 X − 80(4500 + 1000) + 20(4500 + 1000)
    Remove a bracket on the right of the equation::
     4125 X − 80 × 4500 − 80 × 1000 + 20(4500 + 1000) = 4125 X − 80 × 4500 − 80 × 1000 + 20(4500 + 1000)
    The equation is reduced to :
     4125 X − 360000 − 80000 + 20(4500 + 1000) = 4125 X − 360000 − 80000 + 20(4500 + 1000)
    The equation is reduced to :
     4125 X − 440000 + 20(4500 + 1000) = 4125 X − 440000 + 20(4500 + 1000)
    Remove a bracket on the left of the equation:
     4125 X − 440000 + 20 × 4500 + 20 × 1000 = 4125 X − 440000 + 20(4500 + 1000)
    Remove a bracket on the right of the equation::
     4125 X − 440000 + 20 × 4500 + 20 × 1000 = 4125 X − 440000 + 20 × 4500 + 20 × 1000

    
        X=80
    
    There are 1 solution(s).


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