Answer:
-8
Step-by-step explanation:
Start by multiplying both sides by 4.
[tex]\frac{1}{4} x+2=-\frac{5}{8} x-5\\x+8=-\frac{5}{2} x-20[/tex]
Next, multiply both sides by 2.
[tex]x+8=-\frac{5}{2} x-20\\2x+16=-5x-40[/tex]
Now, combine like terms.
[tex]2x+16=-5x-40\\7x+16=-40\\7x=-56\\x=-8[/tex]
