Answer:
The given expression is equivalent to -x
That is 
Now Verified that the two expressions are equivalent
Step-by-step explanation:
Given that Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x
It can be written as below :

Now we can verify the expression is equivalent or not :
Taking LHS

( by using the distributive property )

( adding the like terms )
=RHS
Therefore LHS=RHS
Therefore the given expression is equivalent to -x
That is 
Now Verified that the two expressions are equivalent
10x-7(3x+8)=-26x+4
first you have to isolate the variable
then you divide each side by factores that don't contain the vairable
for this problem if you follow those steps
X=4
-7(3x+8)=-36x+4
-11(3x+8)=-36x+4
It is 4 I believe sorry if I’m wrong