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    总述:本次共解1题。其中
           ☆方程1题

〖 1/1方程〗
    作业:求方程 (x-26)/6+30/(6*(3/4))+(x-4)/(6*(3/4)*(5/4) ) = (x-4)/5+30/(5*(5/4))+(x-26)/(5*(5/4)*(3/4)) 的解.
    题型:方程
    解:原方程:
     ( x 26) ÷ 6 + 30 ÷ (6(3 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = ( x 4) ÷ 5 + 30 ÷ (5(5 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4))
     方程两边同时乘以:(6(3 ÷ 4)) ,  (5(5 ÷ 4))
     ( x 26) ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4)) = ( x 4) ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4))
    去掉方程左边的一个括号:
      x ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4))26 ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = ( x 4) ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4))
    去掉方程右边的一个括号:
      x ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4))26 ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = x ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4))4 ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4))
    方程化简为:
      x ×
1
6
(6(3 ÷ 4))(5(5 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) × (6(3 ÷ 4)) = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))
     方程两边同时乘以:(6(3 ÷ 4)(5 ÷ 4)) ,  (5(5 ÷ 4)(3 ÷ 4))
      x ×
1
6
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    去掉方程左边的一个括号:
      x ×
1
6
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    去掉方程右边的一个括号:
      x ×
1
6
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
1
5
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
    方程化简为:
      x × 1(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
6
5
(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    去掉方程左边的一个括号:
      x × 1 × 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
6
5
(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    去掉方程右边的一个括号:
      x × 1 × 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
6
5
× 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
    方程化简为:
      x ×
3
4
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
9
10
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程左边的一个括号:
      x ×
3
4
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
10
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程右边的一个括号:
      x ×
3
4
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
10
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    方程化简为:
      x ×
15
4
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
9
2
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程左边的一个括号:
      x ×
15
4
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
2
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程右边的一个括号:
      x ×
15
4
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
2
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    方程化简为:
      x ×
75
16
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4)) = x ×
45
8
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))
    去掉方程左边的一个括号:
      x ×
75
16
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
45
8
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))
    去掉方程右边的一个括号:
      x ×
75
16
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
45
8
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    方程化简为:
      x ×
225
8
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
135
4
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程左边的一个括号:
      x ×
225
8
× 3 ÷ 4 × (5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
135
4
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    去掉方程右边的一个括号:
      x ×
225
8
× 3 ÷ 4 × (5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13

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