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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation x = -100+0.2(x-250+62.5)+250 .
    Question type: Equation
    Solution:Original question:
      x = - 100 +
1
5
( x 250 +
125
2
) + 250
     Right side of the equation = 150 +
1
5
( x 250 +
125
2
)
    The equation is transformed into :
      x = 150 +
1
5
( x 250 +
125
2
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 150 +
1
5
x
1
5
× 250 +
1
5
×
125
2
                                               = 150 +
1
5
x 50 +
25
2
                                               =
225
2
+
1
5
x
    The equation is transformed into :
      x =
225
2
+
1
5
x

    Transposition :
      x
1
5
x =
225
2

    Combine the items on the left of the equation:
     
4
5
x =
225
2

    The coefficient of the unknown number is reduced to 1 :
      x =
225
2
÷
4
5
        =
225
2
×
5
4

    We obtained :
      x =
1125
8
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 140.625




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