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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 20000-3000-(2600-X/(1+13%)*13%)*12%-X/(1+13%) = 20000-3000-(2600-X/(1+3%)*3%)*12%-X/(1+3%) .
    Question type: Equation
    Solution:Original question:
     200003000(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
X ÷ (1 +
13
100
) = 200003000(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
X ÷ (1 +
3
100
)
     Multiply both sides of the equation by:(1 +
13
100
) ,  (1 +
3
100
)
     20000(1 +
13
100
)(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20000(1 +
13
100
)(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the left of the equation::
     20000 × 1(1 +
3
100
) + 20000 ×
13
100
(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
) = 20000(1 +
13
100
)(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the right of the equation::
     20000 × 1(1 +
3
100
) + 20000 ×
13
100
(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
) = 20000 × 1(1 +
3
100
) + 20000 ×
13
100
(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)
    The equation is reduced to :
     20000(1 +
3
100
) + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 20000(1 +
3
100
) + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X
    Remove a bracket on the left of the equation:
     20000 × 1 + 20000 ×
3
100
+ 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
) = 20000(1 +
3
100
) + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X
    Remove a bracket on the right of the equation::
     20000 × 1 + 20000 ×
3
100
+ 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
) = 20000 × 1 + 20000 ×
3
100
+ 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)
    The equation is reduced to :
     20000 + 600 + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 20000 + 600 + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X
    The equation is reduced to :
     20600 + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20600 + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the left of the equation:
     20600 + 2600 × 1 + 2600 ×
3
100
3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) = 20600 + 2600(1 +
3
100
)3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the right of the equation::
     20600 + 2600 × 1 + 2600 ×
3
100
3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) = 20600 + 2600 × 1 + 2600 ×
3
100
3000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
)
    The equation is reduced to :
     20600 + 2600 + 783000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20600 + 2600 + 783000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    The equation is reduced to :
     232783000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 232783000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the left of the equation:
     232783000 × 1(1 +
3
100
)3000 ×
13
100
(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 232783000(1 +
13
100
)(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the right of the equation::
     232783000 × 1(1 +
3
100
)3000 ×
13
100
(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 232783000 × 1(1 +
3
100
)3000 ×
13
100
(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X
    The equation is reduced to :
     232783000(1 +
3
100
)390(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 232783000(1 +
3
100
)390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the left of the equation:
     232783000 × 13000 ×
3
100
390(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 232783000(1 +
3
100
)390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the right of the equation::
     232783000 × 13000 ×
3
100
390(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X = 232783000 × 13000 ×
3
100
390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X
    The equation is reduced to :
     23278300090390(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 23278300090390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    The equation is reduced to :
     20188390(1 +
3
100
)(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20188390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the left of the equation:
     20188390 × 1390 ×
3
100
(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20188390(1 +
3
100
)(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    Remove a bracket on the right of the equation::
     20188390 × 1390 ×
3
100
(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20188390 × 1390 ×
3
100
(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    The equation is reduced to :
     20188390
117
10
(2600 X ÷ (1 +
13
100
) ×
13
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
3
100
) = 20188390
117
10
(2600 X ÷ (1 +
3
100
) ×
3
100
) ×
12
100
(1 +
13
100
)(1 +
3
100
) X (1 +
13
100
)
    The equation is reduced to :
     
197863
10
(2600 X

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