Given the linear equation:
(2/5)*x+(19/5) = (13/5)-(4/5)*x
Expand brackets in the left part
2/5x+19/5 = (13/5)-(4/5)*x
Expand brackets in the right part
2/5x+19/5 = 13/5-4/5x
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = - \frac{4 x}{5} - \frac{6}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{6 x}{5} = - \frac{6}{5}$$
Divide both parts of the equation by 6/5
x = -6/5 / (6/5)
We get the answer: x = -1