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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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

[ 1/1 Equation]
    Work: Find the solution of equation （x+20)*【1.68:342+（20-x）:18】 = (20-x)*【2.45:690+（20+x）:18】 .
    Question type: Equation
    Solution:Original question:
     ( x + 20)(
42
25
 ÷ 342 + (20 − x ) ÷ 18) = (20 − x )(
49
20
 ÷ 690 + (20 + x ) ÷ 18)
    Remove the bracket on the left of the equation:
     Left side of the equation = x (
42
25
 ÷ 342 + (20 − x ) ÷ 18) + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             = x ×
42
25
 ÷ 342 + x (20 − x ) ÷ 18 + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             = x ×
7
1425
 + x (20 − x ) ×
1
18
 + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             =
7
1425
 x + x × 20 ×
1
18
 − x x ×
1
18
 + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             =
7
1425
 x + x ×
10
9
 − x x ×
1
18
 + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             =
4771
4275
 x − x x ×
1
18
 + 20(
42
25
 ÷ 342 + (20 − x ) ÷ 18)
                                             =
4771
4275
 x − x x ×
1
18
 + 20 ×
42
25
 ÷ 342 + 20(20 − x ) ÷ 18
                                             =
4771
4275
 x − x x ×
1
18
 +
28
285
 +
10
9
(20 − x )
                                             =
4771
4275
 x − x x ×
1
18
 +
28
285
 +
10
9
 × 20 −
10
9
 x
                                             =
4771
4275
 x − x x ×
1
18
 +
28
285
 +
200
9
 −
10
9
 x
                                             =
7
1425
 x − x x ×
1
18
 +
19084
855
    The equation is transformed into :
     
7
1425
 x − x x ×
1
18
 +
19084
855
 = (20 − x )(
49
20
 ÷ 690 + (20 + x ) ÷ 18)
    Remove the bracket on the right of the equation:
     Right side of the equation = 20(
49
20
 ÷ 690 + (20 + x ) ÷ 18) − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               = 20 ×
49
20
 ÷ 690 + 20(20 + x ) ÷ 18 − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               =
49
690
 +
10
9
(20 + x ) − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               =
49
690
 +
10
9
 × 20 +
10
9
 x − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               =
49
690
 +
200
9
 +
10
9
 x − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               =
46147
2070
 +
10
9
 x − x (
49
20
 ÷ 690 + (20 + x ) ÷ 18)
                                               =
46147
2070
 +
10
9
 x − x ×
49
20
 ÷ 690 − x (20 + x ) ÷ 18
                                               =
46147
2070
 +
10
9
 x − x ×
49
13800
 − x (20 + x ) ×
1
18
                                               =
46147
2070
 +
45853
41400
 x − x (20 + x ) ×
1
18
                                               =
46147
2070
 +
45853
41400
 x − x × 20 ×
1
18
 − x x ×
1
18
                                               =
46147
2070
 +
45853
41400
 x − x ×
10
9
 − x x ×
1
18
                                               =
46147
2070
 −
49
13800
 x − x x ×
1
18
    The equation is transformed into :
     
7
1425
 x − x x ×
1
18
 +
19084
855
 =
46147
2070
 −
49
13800
 x − x x ×
1
18
    The equation can be reduced to :
     
7
1425
 x − x x ×
1
18
 +
19084
855
 =
46147
2070
 −
49
13800
 x − x x ×
1
18

    
        x≈-3.217666 , keep 6 decimal places    
    There are 1 solution(s).

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