Answer: x= -32
Explanation:
6+x/2=1/4(x-4)-1
6 +x/2 = 1/4x -1 -1 distribute
6+ x/2 = 1/4x -2 combine like terms
(6+x/2) = (1/4x -2) Find GCF for denominator
4(6+x/2) = 4(1/4x -2) GCF is 4 so multiply by 4 on both sides
24 +x = x-8 add 8 on both sides
32+x=x subtract x
32=-x divide by -1 on both sides
-32= x