1/2x imma change to .5x 
.5x+1 = -x +8 
Imma put all the numbers on the right side so I’m going to subtract one from each side 
.5x=-x+7 
Then imma add x to both sides to get that x on the left 
1.5x=7 
So now imma divid both sides by 1.5 then I’ll get a answer 
X= 4.66 
My math is wrong XD but my steps are right I hope this helps you in some way 
- Pam Pam