Given the linear equation:
(9000+3000+x)/4 = x
Expand brackets in the left part
9000/4+3000/4+x/4 = x
Looking for similar summands in the left part:
3000 + x/4 = x
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{4} = x - 3000$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-3\right) x}{4} = -3000$$
Divide both parts of the equation by -3/4
x = -3000 / (-3/4)
We get the answer: x = 4000