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0,6x-5,4=-0,8x+5,8

0,6x-5,4=-0,8x+5,8 equation

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Numerical solution:

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The solution

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3*x   27     4*x   29
--- - -- = - --- + --
 5    5       5    5 
$$\frac{3 x}{5} - \frac{27}{5} = \frac{29}{5} - \frac{4 x}{5}$$
Detail solution
Given the linear equation:
(3/5)*x-(27/5) = -(4/5)*x+(29/5)

Expand brackets in the left part
3/5x-27/5 = -(4/5)*x+(29/5)

Expand brackets in the right part
3/5x-27/5 = -4/5x+29/5

Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{5} = \frac{56}{5} - \frac{4 x}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{7 x}{5} = \frac{56}{5}$$
Divide both parts of the equation by 7/5
x = 56/5 / (7/5)

We get the answer: x = 8
The graph
Sum and product of roots [src]
sum
8
$$8$$
=
8
$$8$$
product
8
$$8$$
=
8
$$8$$
8
Rapid solution [src]
x1 = 8
$$x_{1} = 8$$
x1 = 8
Numerical answer [src]
x1 = 8.0
x1 = 8.0
The graph
0,6x-5,4=-0,8x+5,8 equation