x=-2
Explanation
[tex]1=\frac{1}{4}(2x+8)[/tex]Step 1
multiply both sides by 4,
[tex]\begin{gathered} 1=\frac{1}{4}(2x+8) \\ 1\cdot4=\frac{1}{4}(2x+8)\cdot4 \\ 4=2x+8 \end{gathered}[/tex]Step 2
subtract 8 in both sides
[tex]\begin{gathered} 4=2x+8 \\ 4-8=2x+8-8 \\ -4=2x \end{gathered}[/tex]Step 3
divide both sides by 2
[tex]\begin{gathered} -4=2x \\ \frac{-4}{2}=\frac{2x}{2} \\ -2=x \end{gathered}[/tex]I hope this helps you