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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 x/(7.5+2.5)+(x-27.5]/(7.5-2.5) = 4 .
    Question type: Equation
    Solution:Original question:
      x ÷ (
15
2
 +
5
2
) + ( x −
55
2
) ÷ (
15
2
 −
5
2
) = 4
     Multiply both sides of the equation by:(
15
2
 +
5
2
)
      x + ( x −
55
2
) ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) = 4(
15
2
 +
5
2
)
    Remove a bracket on the left of the equation:：
      x + x ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) = 4(
15
2
 +
5
2
)
    Remove a bracket on the right of the equation:：
      x + x ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) = 4 ×
15
2
 + 4 ×
5
2
    The equation is reduced to :
      x + x ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) = 30 + 10
    The equation is reduced to :
      x + x ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
) = 40
     Multiply both sides of the equation by:(
15
2
 −
5
2
)
      x (
15
2
 −
5
2
) + x (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
)(
15
2
 −
5
2
) = 40(
15
2
 −
5
2
)
    Remove a bracket on the left of the equation:
      x ×
15
2
 − x ×
5
2
 + x (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
)(
15
2
 −
5
2
) = 40(
15
2
 −
5
2
)
    Remove a bracket on the right of the equation:：
      x ×
15
2
 − x ×
5
2
 + x (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
)(
15
2
 −
5
2
) = 40 ×
15
2
 − 40 ×
5
2
    The equation is reduced to :
      x ×
15
2
 − x ×
5
2
 + x (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
)(
15
2
 −
5
2
) = 300 − 100
    The equation is reduced to :
     5 x + x (
15
2
 +
5
2
) −
55
2
 ÷ (
15
2
 −
5
2
) × (
15
2
 +
5
2
)(
15
2
 −
5
2
) = 200
     Multiply both sides of the equation by:(
15
2
 −
5
2
)
     5 x (
15
2
 −
5
2
) + x (
15
2
 +
5
2
)(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 200(
15
2
 −
5
2
)
    Remove a bracket on the left of the equation:
     5 x ×
15
2
 − 5 x ×
5
2
 + x (
15
2
 +
5
2
)(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 200(
15
2
 −
5
2
)
    Remove a bracket on the right of the equation:：
     5 x ×
15
2
 − 5 x ×
5
2
 + x (
15
2
 +
5
2
)(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 200 ×
15
2
 − 200 ×
5
2
    The equation is reduced to :
     
75
2
 x −
25
2
 x + x (
15
2
 +
5
2
)(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1500 − 500
    The equation is reduced to :
     25 x + x (
15
2
 +
5
2
)(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    Remove a bracket on the left of the equation:
     25 x + x ×
15
2
(
15
2
 −
5
2
) + x ×
5
2
(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    Remove a bracket on the left of the equation:
     25 x + x ×
15
2
 ×
15
2
 − x ×
15
2
 ×
5
2
 + x ×
5
2
(
15
2
 −
5
2
) −
55
2
 = 1000
    The equation is reduced to :
     25 x + x ×
225
4
 − x ×
75
4
 + x ×
5
2
(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    The equation is reduced to :
     
125
2
 x + x ×
5
2
(
15
2
 −
5
2
) −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    Remove a bracket on the left of the equation:
     
125
2
 x + x ×
5
2
 ×
15
2
 − x ×
5
2
 ×
5
2
 −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    The equation is reduced to :
     
125
2
 x + x ×
75
4
 − x ×
25
4
 −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000
    The equation is reduced to :
     75 x −
55
2
(
15
2
 +
5
2
)(
15
2
 −
5
2
) = 1000

    
        x=
95
3
    
    There are 1 solution(s).

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