Given the linear equation:
(1/5)*x+(27/10) = (7/5)-(11/10)*x
Expand brackets in the left part
1/5x+27/10 = (7/5)-(11/10)*x
Expand brackets in the right part
1/5x+27/10 = 7/5-11/10x
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{5} = - \frac{11 x}{10} - \frac{13}{10}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{13 x}{10} = - \frac{13}{10}$$
Divide both parts of the equation by 13/10
x = -13/10 / (13/10)
We get the answer: x = -1