Given the linear equation:
5*x-12-2*(x-1) = 3*(5-2*x)+4*x
Expand brackets in the left part
5*x-12-2*x+2*1 = 3*(5-2*x)+4*x
Expand brackets in the right part
5*x-12-2*x+2*1 = 3*5-3*2*x+4*x
Looking for similar summands in the left part:
-10 + 3*x = 3*5-3*2*x+4*x
Looking for similar summands in the right part:
-10 + 3*x = 15 - 2*x
Move free summands (without x)
from left part to right part, we given:
$$3 x = 25 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 25$$
Divide both parts of the equation by 5
x = 25 / (5)
We get the answer: x = 5