Given the linear equation:
(3-x)/3 = (2*x-1)/2
Expand brackets in the left part
3/3-x/3 = (2*x-1)/2
Expand brackets in the right part
3/3-x/3 = 2*x/2-1/2
Move free summands (without x)
from left part to right part, we given:
$$- \frac{x}{3} = x - \frac{3}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-4\right) x}{3} = - \frac{3}{2}$$
Divide both parts of the equation by -4/3
x = -3/2 / (-4/3)
We get the answer: x = 9/8