Here is my problem. I'm to solve the proportion of 4/5=x-8/8. My answer looks like tis: 32=5x-8 add 8 to both sides so then it would look like this: 8+32=5x-8+8 therefore my next step is 40=5x now I divided both sides by 5 and got 8=x. Is this correct? Thanks.

No. You need to multiply both sides by 40.

That gives you

32=5x-40
now add 40 to both sides, and solve.