Given the linear equation:
(x-2)/5-(3*x+2)/6 = 2/3-x
Expand brackets in the left part
x/5-2/5-3*x/6-2/6 = 2/3-x
Looking for similar summands in the left part:
-11/15 - 3*x/10 = 2/3-x
Move free summands (without x)
from left part to right part, we given:
$$- \frac{3 x}{10} = - x + \frac{7}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{7 x}{10} = \frac{7}{5}$$
Divide both parts of the equation by 7/10
x = 7/5 / (7/10)
We get the answer: x = 2