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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-500)*5+[x-(x-500)-(x-800)]*4+(x-800)*3-1.2x = 3100 .
    Question type: Equation
    Solution:Original question:
     ( x − 500) × 5 + ( x − ( x − 500) − ( x − 800)) × 4 + ( x − 800) × 3 −
6
5
 x = 3100
    Remove the bracket on the left of the equation:
     Left side of the equation = x × 5 − 500 × 5 + ( x − ( x − 500) − ( x − 800)) × 4 + ( x − 800) × 3 −
6
5
 x
                                             = x × 5 − 2500 + ( x − ( x − 500) − ( x − 800)) × 4 + ( x − 800) × 3 −
6
5
 x
                                             =
19
5
 x − 2500 + ( x − ( x − 500) − ( x − 800)) × 4 + ( x − 800) × 3
                                             =
19
5
 x − 2500 + x × 4 − ( x − 500) × 4 − ( x − 800) × 4 + ( x − 800) × 3
                                             =
39
5
 x − 2500 − ( x − 500) × 4 − ( x − 800) × 4 + ( x − 800) × 3
                                             =
39
5
 x − 2500 − x × 4 + 500 × 4 − ( x − 800) × 4 + ( x − 800) × 3
                                             =
39
5
 x − 2500 − x × 4 + 2000 − ( x − 800) × 4 + ( x − 800) × 3
                                             =
19
5
 x − 500 − ( x − 800) × 4 + ( x − 800) × 3
                                             =
19
5
 x − 500 − x × 4 + 800 × 4 + ( x − 800) × 3
                                             =
19
5
 x − 500 − x × 4 + 3200 + ( x − 800) × 3
                                             = -
1
5
 x + 2700 + ( x − 800) × 3
                                             = -
1
5
 x + 2700 + x × 3 − 800 × 3
                                             = -
1
5
 x + 2700 + x × 3 − 2400
                                             =
14
5
 x + 300
    The equation is transformed into :
     
14
5
 x + 300 = 3100

    Transposition :
     
14
5
 x = 3100 − 300

    Combine the items on the right of the equation:
     
14
5
 x = 2800

    The coefficient of the unknown number is reduced to 1 :
      x = 2800 ÷
14
5
        = 2800 ×
5
14
        = 200 × 5

    We obtained :
      x = 1000
    This is the solution of the equation.



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