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0.4*x+3.8=2.6-0.8*x

0.4*x+3.8=2.6-0.8*x equation

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Numerical solution:

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The solution

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2*x   19   13   4*x
--- + -- = -- - ---
 5    5    5     5 
$$\frac{2 x}{5} + \frac{19}{5} = \frac{13}{5} - \frac{4 x}{5}$$
Detail solution
Given the linear equation:
(2/5)*x+(19/5) = (13/5)-(4/5)*x

Expand brackets in the left part
2/5x+19/5 = (13/5)-(4/5)*x

Expand brackets in the right part
2/5x+19/5 = 13/5-4/5x

Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = - \frac{4 x}{5} - \frac{6}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{6 x}{5} = - \frac{6}{5}$$
Divide both parts of the equation by 6/5
x = -6/5 / (6/5)

We get the answer: x = -1
The graph
Rapid solution [src]
x1 = -1
$$x_{1} = -1$$
Sum and product of roots [src]
sum
0 - 1
$$-1 + 0$$
=
-1
$$-1$$
product
1*-1
$$1 \left(-1\right)$$
=
-1
$$-1$$
-1
Numerical answer [src]
x1 = -1.0
x1 = -1.0
The graph
0.4*x+3.8=2.6-0.8*x equation