Given the linear equation:
(29/5)-(8/5)*x = (3/10)*x-(9/5)
Expand brackets in the left part
29/5-8/5x = (3/10)*x-(9/5)
Expand brackets in the right part
29/5-8/5x = 3/10x-9/5
Move free summands (without x)
from left part to right part, we given:
$$- \frac{8 x}{5} = \frac{3 x}{10} - \frac{38}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-19\right) x}{10} = - \frac{38}{5}$$
Divide both parts of the equation by -19/10
x = -38/5 / (-19/10)
We get the answer: x = 4