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0,5(x-4)+3x=9,9 equation

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Numerical solution:

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The solution

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x - 4         99
----- + 3*x = --
  2           10
$$3 x + \frac{x - 4}{2} = \frac{99}{10}$$
Detail solution
Given the linear equation:
(1/2)*(x-4)+3*x = (99/10)

Expand brackets in the left part
1/2x-4+3*x = (99/10)

Expand brackets in the right part
1/2x-4+3*x = 99/10

Looking for similar summands in the left part:
-2 + 7*x/2 = 99/10

Move free summands (without x)
from left part to right part, we given:
$$\frac{7 x}{2} = \frac{119}{10}$$
Divide both parts of the equation by 7/2
x = 119/10 / (7/2)

We get the answer: x = 17/5
The graph
Rapid solution [src]
x1 = 17/5
$$x_{1} = \frac{17}{5}$$
x1 = 17/5
Sum and product of roots [src]
sum
17/5
$$\frac{17}{5}$$
=
17/5
$$\frac{17}{5}$$
product
17/5
$$\frac{17}{5}$$
=
17/5
$$\frac{17}{5}$$
17/5
Numerical answer [src]
x1 = 3.4
x1 = 3.4