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    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*12-(5000+1500+2000)*12]*20%-16920}-{[X-(5000+1500+2000)]*10%-1410}*12 = 4000 .
    Question type: Equation
    Solution:Original question:
     (( X × 12(5000 + 1500 + 2000) × 12) ×
20
100
16920)(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12 = 4000
    Remove the bracket on the left of the equation:
     Left side of the equation = ( X × 12(5000 + 1500 + 2000) × 12) ×
20
100
16920(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             = X × 12 ×
20
100
(5000 + 1500 + 2000) × 12 ×
20
100
16920(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             = X ×
12
5
(5000 + 1500 + 2000) ×
12
5
16920(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             =
12
5
X 5000 ×
12
5
1500 ×
12
5
2000 ×
12
5
16920(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             =
12
5
X 120003600480016920(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             =
12
5
X 37320(( X (5000 + 1500 + 2000)) ×
10
100
1410) × 12
                                             =
12
5
X 37320( X (5000 + 1500 + 2000)) ×
10
100
× 12 + 1410 × 12
                                             =
12
5
X 37320( X (5000 + 1500 + 2000)) ×
6
5
+ 16920
                                             =
12
5
X 20400( X (5000 + 1500 + 2000)) ×
6
5
                                             =
12
5
X 20400 X ×
6
5
+ (5000 + 1500 + 2000) ×
6
5
                                             =
6
5
X 20400 + (5000 + 1500 + 2000) ×
6
5
                                             =
6
5
X 20400 + 5000 ×
6
5
+ 1500 ×
6
5
+ 2000 ×
6
5
                                             =
6
5
X 20400 + 6000 + 1800 + 2400
                                             =
6
5
X 10200
    The equation is transformed into :
     
6
5
X 10200 = 4000

    Transposition :
     
6
5
X = 4000 + 10200

    Combine the items on the right of the equation:
     
6
5
X = 14200

    The coefficient of the unknown number is reduced to 1 :
      X = 14200 ÷
6
5
        = 14200 ×
5
6
        = 7100 ×
5
3

    We obtained :
      X =
35500
3
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 11833.333333



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