Given the linear equation:
9*x-6*(x-1) = 5*(x+2)
Expand brackets in the left part
9*x-6*x+6*1 = 5*(x+2)
Expand brackets in the right part
9*x-6*x+6*1 = 5*x+5*2
Looking for similar summands in the left part:
6 + 3*x = 5*x+5*2
Move free summands (without x)
from left part to right part, we given:
$$3 x = 5 x + 4$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x = 4$$
Divide both parts of the equation by -2
x = 4 / (-2)
We get the answer: x = -2