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0,5(8x+1)=15-(9-4x) equation

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Numerical solution:

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The solution

Detail solution
Given the linear equation:
(1/2)*(8*x+1) = 15-(9-4*x)

Expand brackets in the left part
1/28*x+1 = 15-(9-4*x)

Expand brackets in the right part
1/28*x+1 = 15-9+4*x

Looking for similar summands in the right part:
1/2 + 4*x = 6 + 4*x

Move free summands (without x)
from left part to right part, we given:
$$4 x = 4 x + \frac{11}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$0 = \frac{11}{2}$$
This equation has no roots
The graph
Rapid solution [src]
This equation has no roots
This equation has no roots