In order to solve this equation, we can do the following steps:
1) Add -6 to both sides of the equation:
[tex]\begin{gathered} -2x+6=8 \\ -2x+6-6=8-6 \\ -2x=2 \end{gathered}[/tex]2) Multiply the equation by -1:
[tex]\begin{gathered} -2x=2 \\ 2x=-2 \end{gathered}[/tex]3) Divide both sides by 2:
[tex]\begin{gathered} 2x=-2 \\ \frac{2x}{2}=-\frac{2}{2} \\ x=-1 \end{gathered}[/tex]So the value of x is -1.