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5,6-(3x+11)=4×(x+0,4) equation

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Numerical solution:

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The solution

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28/5 + -3*x - 11 = 4*(x + 2/5)
$$\left(- 3 x - 11\right) + \frac{28}{5} = 4 \left(x + \frac{2}{5}\right)$$
Detail solution
Given the linear equation:
(28/5)-(3*x+11) = 4*(x+(2/5))

Expand brackets in the left part
28/5-3*x-11 = 4*(x+(2/5))

Expand brackets in the right part
28/5-3*x-11 = 4*x+4*2/5)

Looking for similar summands in the left part:
-27/5 - 3*x = 4*x+4*2/5)

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

We get the answer: x = -1
The graph
Sum and product of roots [src]
sum
-1
$$-1$$
=
-1
$$-1$$
product
-1
$$-1$$
=
-1
$$-1$$
-1
Rapid solution [src]
x1 = -1
$$x_{1} = -1$$
x1 = -1
Numerical answer [src]
x1 = -1.0
x1 = -1.0