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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 2.625*0.3236/（2.625-1.34）+2.361*0.6733/（2.361-1.34）+0.0031*1/（1-1.34） = x+1 .
    Question type: Equation
    Solution:Original question:
     
21
8
 ×
809
2500
 ÷ (
21
8
 −
67
50
) +
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) +
31
10000
 × 1 ÷ (1 −
67
50
) = x + 1
     Multiply both sides of the equation by:(
21
8
 −
67
50
)
     
21
8
 ×
809
2500
 +
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) × (
21
8
 −
67
50
) +
31
10000
 × 1 ÷ (1 −
67
50
) × (
21
8
 −
67
50
) = x (
21
8
 −
67
50
) + 1(
21
8
 −
67
50
)
    Remove a bracket on the left of the equation:：
     
21
8
 ×
809
2500
 +
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) ×
21
8
 −
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) ×
67
50
 +
31
10000
 × 1 = x (
21
8
 −
67
50
) + 1(
21
8
 −
67
50
)
    Remove a bracket on the right of the equation:：
     
21
8
 ×
809
2500
 +
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) ×
21
8
 −
2361
1000
 ×
6733
10000
 ÷ (
2361
1000
 −
67
50
) ×
67
50
 +
31
10000
 × 1 = x ×
21
8
 − x ×
67
50
 + 1(
21
8
 −
67
50
)
    The equation is reduced to :
     
16989
20000
 +
333828873
80000000
 ÷ (
2361
1000
 −
67
50
) −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
) = x ×
21
8
 − x ×
67
50
 + 1(
21
8
 −
67
50
)
    The equation is reduced to :
     
16989
20000
 +
333828873
80000000
 ÷ (
2361
1000
 −
67
50
) −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
) =
257
200
 x + 1(
21
8
 −
67
50
)
     Multiply both sides of the equation by:(
2361
1000
 −
67
50
)
     
16989
20000
(
2361
1000
 −
67
50
) +
333828873
80000000
 −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) × (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
)(
2361
1000
 −
67
50
) =
257
200
 x (
2361
1000
 −
67
50
) + 1(
21
8
 −
67
50
)(
2361
1000
 −
67
50
)
    Remove a bracket on the left of the equation:
     
16989
20000
 ×
2361
1000
 −
16989
20000
 ×
67
50
 +
333828873
80000000
 −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) × (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
)(
2361
1000
 −
67
50
) =
257
200
 x (
2361
1000
 −
67
50
) + 1(
21
8
 −
67
50
)(
2361
1000
 −
67
50
)
    Remove a bracket on the right of the equation:：
     
16989
20000
 ×
2361
1000
 −
16989
20000
 ×
67
50
 +
333828873
80000000
 −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) × (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
)(
2361
1000
 −
67
50
) =
257
200
 x ×
2361
1000
 −
257
200
 x ×
67
50
 + 1(
21
8
 −
67
50
)(
2361
1000
 −
67
50
)
    The equation is reduced to :
     
40111029
20000000
 −
1138263
1000000
 +
333828873
80000000
 −
1065073071
500000000
 ÷ (
2361
1000
 −
67
50
) × (
2361
1000
 −
67
50
) +
31
10000
 ÷ (1 −
67
50
) × (
21
8
 −
67
50
)(
2361
1000
 −
67
50
) =
606777
200000
 x −
17219
10000
 x + 1(
21
8
 −
67
50
)(
2361
1000
 −
67
50
)

    
        x≈1.208898 , keep 6 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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