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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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 （38.8+（x-1000）/（3000-1000）*（103.8-38.8）)*1*1*1.5 = 2638-x .
    Question type: Equation
    Solution:Original question:
     (
194
5
 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
)) × 1 × 1 ×
3
2
 = 2638 − x
    Remove a bracket on the left of the equation:：
     
194
5
 × 1 × 1 ×
3
2
 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
) × 1 × 1 ×
3
2
 = 2638 − x
    The equation is reduced to :
     
291
5
 + ( x − 1000) ÷ (3000 − 1000) × (
519
5
 −
194
5
) ×
3
2
 = 2638 − x
     Multiply both sides of the equation by:(3000 − 1000)
     
291
5
(3000 − 1000) + ( x − 1000)(
519
5
 −
194
5
) ×
3
2
 = 2638(3000 − 1000) − x (3000 − 1000)
    Remove a bracket on the left of the equation:
     
291
5
 × 3000 −
291
5
 × 1000 + ( x − 1000)(
519
5
 −
194
5
) ×
3
2
 = 2638(3000 − 1000) − x (3000 − 1000)
    Remove a bracket on the right of the equation:：
     
291
5
 × 3000 −
291
5
 × 1000 + ( x − 1000)(
519
5
 −
194
5
) ×
3
2
 = 2638 × 3000 − 2638 × 1000 − x (3000 − 1000)
    The equation is reduced to :
     174600 − 58200 + ( x − 1000)(
519
5
 −
194
5
) ×
3
2
 = 7914000 − 2638000 − x (3000 − 1000)
    The equation is reduced to :
     116400 + ( x − 1000)(
519
5
 −
194
5
) ×
3
2
 = 5276000 − x (3000 − 1000)
    Remove a bracket on the left of the equation:
     116400 + x (
519
5
 −
194
5
) ×
3
2
 − 1000(
519
5
 −
194
5
) ×
3
2
 = 5276000 − x (3000 − 1000)
    Remove a bracket on the right of the equation:：
     116400 + x (
519
5
 −
194
5
) ×
3
2
 − 1000(
519
5
 −
194
5
) ×
3
2
 = 5276000 − x × 3000 + x × 1000
    The equation is reduced to :
     116400 + x (
519
5
 −
194
5
) ×
3
2
 − 1500(
519
5
 −
194
5
) = 5276000 − x × 3000 + x × 1000
    The equation is reduced to :
     116400 + x (
519
5
 −
194
5
) ×
3
2
 − 1500(
519
5
 −
194
5
) = 5276000 − 2000 x
    Remove a bracket on the left of the equation:
     116400 + x ×
519
5
 ×
3
2
 − x ×
194
5
 ×
3
2
 − 1500(
519
5
 −
194
5
) = 5276000 − 2000 x
    The equation is reduced to :
     116400 + x ×
1557
10
 − x ×
291
5
 − 1500(
519
5
 −
194
5
) = 5276000 − 2000 x
    The equation is reduced to :
     116400 +
195
2
 x − 1500(
519
5
 −
194
5
) = 5276000 − 2000 x
    Remove a bracket on the left of the equation:
     116400 +
195
2
 x − 1500 ×
519
5
 + 1500 ×
194
5
 = 5276000 − 2000 x
    The equation is reduced to :
     116400 +
195
2
 x − 155700 + 58200 = 5276000 − 2000 x
    The equation is reduced to :
     18900 +
195
2
 x = 5276000 − 2000 x

    Transposition :
     
195
2
 x + 2000 x = 5276000 − 18900

    Combine the items on the left of the equation:
     
4195
2
 x = 5276000 − 18900

    Combine the items on the right of the equation:
     
4195
2
 x = 5257100

    The coefficient of the unknown number is reduced to 1 :
      x = 5257100 ÷
4195
2
        = 5257100 ×
2
4195
        = 1051420 ×
2
839

    We obtained :
      x =
2102840
839
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2506.36472



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