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