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6,8-1,3x=0,6x-2,7

6,8-1,3x=0,6x-2,7 equation

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Numerical solution:

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The solution

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34   13*x   3*x   27
-- - ---- = --- - --
5     10     5    10
$$\frac{34}{5} - \frac{13 x}{10} = \frac{3 x}{5} - \frac{27}{10}$$
Detail solution
Given the linear equation:
(34/5)-(13/10)*x = (3/5)*x-(27/10)

Expand brackets in the left part
34/5-13/10x = (3/5)*x-(27/10)

Expand brackets in the right part
34/5-13/10x = 3/5x-27/10

Move free summands (without x)
from left part to right part, we given:
$$- \frac{13 x}{10} = \frac{3 x}{5} - \frac{19}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-19\right) x}{10} = - \frac{19}{2}$$
Divide both parts of the equation by -19/10
x = -19/2 / (-19/10)

We get the answer: x = 5
The graph
Rapid solution [src]
x1 = 5
$$x_{1} = 5$$
x1 = 5
Sum and product of roots [src]
sum
5
$$5$$
=
5
$$5$$
product
5
$$5$$
=
5
$$5$$
5
Numerical answer [src]
x1 = 5.0
x1 = 5.0
The graph
6,8-1,3x=0,6x-2,7 equation