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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 5/4(1.125x+1)-281/256 = 7/8x0.75 .
    Question type: Equation
    Solution:Original question:
     5 ÷ 4 × (
9
8
x + 1)281 ÷ 256 = 7 ÷ 8 × x ×
3
4
     Left side of the equation =
5
4
(
9
8
x + 1)
281
256
    The equation is transformed into :
     
5
4
(
9
8
x + 1)
281
256
= 7 ÷ 8 × x ×
3
4
    Remove the bracket on the left of the equation:
     Left side of the equation =
5
4
×
9
8
x +
5
4
× 1
281
256
                                             =
45
32
x +
5
4
281
256
                                             =
45
32
x +
39
256
    The equation is transformed into :
     
45
32
x +
39
256
= 7 ÷ 8 × x ×
3
4
     Right side of the equation =
21
32
x
    The equation is transformed into :
     
45
32
x +
39
256
=
21
32
x

    Transposition :
     
45
32
x
21
32
x = -
39
256

    Combine the items on the left of the equation:
     
3
4
x = -
39
256

    The coefficient of the unknown number is reduced to 1 :
      x = -
39
256
÷
3
4
        = -
39
256
×
4
3
        = -
13
64
× 1

    We obtained :
      x = -
13
64
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.203125



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