Given the linear equation:
(27/5)-(3/2)*x = (3/10)*x-(18/5)
Expand brackets in the left part
27/5-3/2x = (3/10)*x-(18/5)
Expand brackets in the right part
27/5-3/2x = 3/10x-18/5
Move free summands (without x)
from left part to right part, we given:
$$- \frac{3 x}{2} = \frac{3 x}{10} - 9$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-9\right) x}{5} = -9$$
Divide both parts of the equation by -9/5
x = -9 / (-9/5)
We get the answer: x = 5