Given the linear equation:
(3/5)*x-(27/5) = -(4/5)*x+(29/5)
Expand brackets in the left part
3/5x-27/5 = -(4/5)*x+(29/5)
Expand brackets in the right part
3/5x-27/5 = -4/5x+29/5
Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{5} = \frac{56}{5} - \frac{4 x}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{7 x}{5} = \frac{56}{5}$$
Divide both parts of the equation by 7/5
x = 56/5 / (7/5)
We get the answer: x = 8