Given the linear equation:
(x+3)/5 = 6+(x/2)
Expand brackets in the left part
x/5+3/5 = 6+(x/2)
Expand brackets in the right part
x/5+3/5 = 6+x/2
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{5} = \frac{x}{2} + \frac{27}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-3\right) x}{10} = \frac{27}{5}$$
Divide both parts of the equation by -3/10
x = 27/5 / (-3/10)
We get the answer: x = -18