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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (58.55-x)/(1/2183.5)+0.00009 = (x-30)/(1/1182.17)+0.00018 .
    Question type: Equation
    Solution:Original question:
     (
1171
20
x ) ÷ (1 ÷
4367
2
) +
9
100000
= ( x 30) ÷ (1 ÷
118217
100
) +
9
50000
     Multiply both sides of the equation by:(1 ÷
4367
2
) ,  (1 ÷
118217
100
)
     (
1171
20
x )(1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = ( x 30)(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the left of the equation::
     
1171
20
(1 ÷
118217
100
) x (1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = ( x 30)(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the right of the equation::
     
1171
20
(1 ÷
118217
100
) x (1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = x (1 ÷
4367
2
)30(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the left of the equation:
     
1171
20
× 1 ÷
118217
100
x (1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = x (1 ÷
4367
2
)30(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the right of the equation::
     
1171
20
× 1 ÷
118217
100
x (1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = x × 1 ÷
4367
2
30(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    The equation is reduced to :
     
5855
118217
x (1 ÷
118217
100
) +
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) = x ×
2
4367
30(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the left of the equation:
     
5855
118217
x × 1 ÷
118217
100
+
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) =
2
4367
x 30(1 ÷
4367
2
) +
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the right of the equation::
     
5855
118217
x × 1 ÷
118217
100
+
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) =
2
4367
x 30 × 1 ÷
4367
2
+
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    The equation is reduced to :
     
5855
118217
x ×
100
118217
+
9
100000
(1 ÷
4367
2
)(1 ÷
118217
100
) =
2
4367
x
60
4367
+
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the left of the equation:
     
5855
118217
100
118217
x +
9
100000
× 1 ÷
4367
2
× (1 ÷
118217
100
) =
2
4367
x
60
4367
+
9
50000
(1 ÷
4367
2
)(1 ÷
118217
100
)
    Remove a bracket on the right of the equation::
     
5855
118217
100
118217
x +
9
100000
× 1 ÷
4367
2
× (1 ÷
118217
100
) =
2
4367
x
60
4367
+
9
50000
× 1 ÷
4367
2
× (1 ÷
118217
100
)
    The equation is reduced to :
     
5855
118217
100
118217
x +
9
218350000
(1 ÷
118217
100
) =
2
4367
x
60
4367
+
9
109175000
(1 ÷
118217
100
)
    Remove a bracket on the left of the equation:
     
5855
118217
100
118217
x +
9
218350000
× 1 ÷
118217
100
=
2
4367
x
60
4367
+
9
109175000
(1 ÷
118217
100
)
    Remove a bracket on the right of the equation::
     
5855
118217
100
118217
x +
9
218350000
× 1 ÷
118217
100
=
2
4367
x
60
4367
+
9
109175000
× 1 ÷
118217
100

    
        x≈58.55 , keep 2 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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