Answer:
x = 2 1/4 or 9/4
Step-by-step explanation:
First:
8-3÷2x=1/2+x
5÷2x=1/2+x
Then move 1/2 over to the other side so reverse the operation
5÷2x=1/2+x
-1/2 -1/2
Now move the "2x" with division sign over to the other side by multiplying
4 1/2÷2x=x
×2x ×2x
4 1/2=2x
Divide both sides by 2
4 1/2=9/2÷2/1 (reverse/flip2/1)=9/2×1/2=9/4 or simplified, 2 1/4
Answer: x=9/4 or 2 1/4