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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (x-500-6000*6%)*(1-25%)/3000 = (x-500)*(1-25%)/(3000+1000) .
    Question type: Equation
    Solution:Original question:
     ( x 5006000 ×
6
100
)(1
25
100
) ÷ 3000 = ( x 500)(1
25
100
) ÷ (3000 + 1000)
     Multiply both sides of the equation by:(3000 + 1000)
     ( x 5006000 ×
6
100
)(1
25
100
) ÷ 3000 × (3000 + 1000) = ( x 500)(1
25
100
)
    Remove a bracket on the left of the equation::
      x (1
25
100
) ÷ 3000 × (3000 + 1000)500(1
25
100
) ÷ 3000 × (3000 + 1000)6000 ×
6
100
(1
25
100
) ÷ 3000 = ( x 500)(1
25
100
)
    Remove a bracket on the right of the equation::
      x (1
25
100
) ÷ 3000 × (3000 + 1000)500(1
25
100
) ÷ 3000 × (3000 + 1000)6000 ×
6
100
(1
25
100
) ÷ 3000 = x (1
25
100
)500(1
25
100
)
    The equation is reduced to :
      x (1
25
100
) ×
1
3000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) = x (1
25
100
)500(1
25
100
)
    Remove a bracket on the left of the equation:
      x × 1 ×
1
3000
(3000 + 1000) x ×
25
100
×
1
3000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
= x (1
25
100
)500(1
25
100
)
    Remove a bracket on the right of the equation::
      x × 1 ×
1
3000
(3000 + 1000) x ×
25
100
×
1
3000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
= x × 1 x ×
25
100
500(1
25
100
)
    The equation is reduced to :
      x ×
1
3000
(3000 + 1000) x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) = x × 1 x ×
25
100
500(1
25
100
)
    The equation is reduced to :
      x ×
1
3000
(3000 + 1000) x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 500(1
25
100
)
    Remove a bracket on the left of the equation:
      x ×
1
3000
× 3000 + x ×
1
3000
× 1000 x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000) =
3
4
x 500(1
25
100
)
    Remove a bracket on the right of the equation::
      x ×
1
3000
× 3000 + x ×
1
3000
× 1000 x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000) =
3
4
x 500 × 1 + 500 ×
25
100
    The equation is reduced to :
      x × 1 + x ×
1
3
x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
) =
3
4
x 500 + 125
    The equation is reduced to :
     
4
3
x x ×
1
12000
(3000 + 1000)
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    Remove a bracket on the left of the equation:
     
4
3
x x ×
1
12000
× 3000 x ×
1
12000
× 1000
1
6
(1
25
100
)(3000 + 1000)
3
25
=
3
4
x 375
    The equation is reduced to :
     
4
3
x x ×
1
4
x ×
1
12
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x
1
6
(1
25
100
)(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    Remove a bracket on the left of the equation:
     1 x
1
6
× 1(3000 + 1000) +
1
6
×
25
100
(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x
1
6
(3000 + 1000) +
1
24
(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    Remove a bracket on the left of the equation:
     1 x
1
6
× 3000
1
6
× 1000 +
1
24
(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x 500
500
3
+
1
24
(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x
2000
3
+
1
24
(3000 + 1000)
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    Remove a bracket on the left of the equation:
     1 x
2000
3
+
1
24
× 3000 +
1
24
× 1000
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x
2000
3
+ 125 +
125
3
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    The equation is reduced to :
     1 x 500
3
25
(1
25
100
)(3000 + 1000) =
3
4
x 375
    Remove a bracket on the left of the equation:
     1 x 500
3
25
× 1(3000 + 1000) +
3
25
×
25
100
(3000 + 1000) =
3
4
x 375

    
        x=860
    
    There are 1 solution(s).


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