Given the linear equation:
6*(2*x+(1/2)) = 8*x-(3*x+4)
Expand brackets in the left part
6*2*x+6*1/2) = 8*x-(3*x+4)
Expand brackets in the right part
6*2*x+6*1/2) = 8*x-3*x-4
Looking for similar summands in the right part:
3 + 12*x = -4 + 5*x
Move free summands (without x)
from left part to right part, we given:
$$12 x = 5 x - 7$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = -7$$
Divide both parts of the equation by 7
x = -7 / (7)
We get the answer: x = -1