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0,4x+9/11×0,4x-15=x equation

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Numerical solution:

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The solution

You have entered [src]
2*x   9*2            
--- + ----*x - 15 = x
 5    11*5           
$$\left(\frac{2 \cdot 9}{5 \cdot 11} x + \frac{2 x}{5}\right) - 15 = x$$
Detail solution
Given the linear equation:
(2/5)*x+9/11*(2/5)*x-15 = x

Expand brackets in the left part
2/5x+9/11*2/5x-15 = x

Looking for similar summands in the left part:
-15 + 8*x/11 = x

Move free summands (without x)
from left part to right part, we given:
$$\frac{8 x}{11} = x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-3\right) x}{11} = 15$$
Divide both parts of the equation by -3/11
x = 15 / (-3/11)

We get the answer: x = -55
The graph
Rapid solution [src]
x1 = -55
$$x_{1} = -55$$
x1 = -55
Sum and product of roots [src]
sum
-55
$$-55$$
=
-55
$$-55$$
product
-55
$$-55$$
=
-55
$$-55$$
-55
Numerical answer [src]
x1 = -55.0
x1 = -55.0