Given the linear equation:
-x-4+5*(x+3) = 5*(-1-x)-2
Expand brackets in the left part
-x-4+5*x+5*3 = 5*(-1-x)-2
Expand brackets in the right part
-x-4+5*x+5*3 = -5*1-5*x-2
Looking for similar summands in the left part:
11 + 4*x = -5*1-5*x-2
Looking for similar summands in the right part:
11 + 4*x = -7 - 5*x
Move free summands (without x)
from left part to right part, we given:
$$4 x = - 5 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$9 x = -18$$
Divide both parts of the equation by 9
x = -18 / (9)
We get the answer: x = -2