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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/75+2）*150+8x+1000 = （x/100+4）*150+6x+2000 .
    Question type: Equation
    Solution:Original question:
     ( x ÷ 75 + 2) × 150 + 8 x + 1000 = ( x ÷ 100 + 4) × 150 + 6 x + 2000
    Remove the bracket on the left of the equation:
     Left side of the equation = x ÷ 75 × 150 + 2 × 150 + 8 x + 1000
                                             = x × 2 + 300 + 8 x + 1000
                                             = 10 x + 1300
    The equation is transformed into :
     10 x + 1300 = ( x ÷ 100 + 4) × 150 + 6 x + 2000
    Remove the bracket on the right of the equation:
     Right side of the equation = x ÷ 100 × 150 + 4 × 150 + 6 x + 2000
                                               = x ×
3
2
 + 600 + 6 x + 2000
                                               =
15
2
 x + 2600
    The equation is transformed into :
     10 x + 1300 =
15
2
 x + 2600

    Transposition :
     10 x −
15
2
 x = 2600 − 1300

    Combine the items on the left of the equation:
     
5
2
 x = 2600 − 1300

    Combine the items on the right of the equation:
     
5
2
 x = 1300

    The coefficient of the unknown number is reduced to 1 :
      x = 1300 ÷
5
2
        = 1300 ×
2
5
        = 260 × 2

    We obtained :
      x = 520
    This is the solution of the equation.



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