Question 5315
It is GREAT that you are trying to show work!

34 - 10x=6x+2

You have the right idea of moving all variable stuff on one side, and all number stuff to another side.

Looks like you tried to add 10x, but remember that with equations, you have to do it to both sides!

Let's try to add 10x to both sides:

{{{34-10x+highlight(10x)=6x+2+highlight(10x)}}}

10x-10x cancels out on the left

34 = 6x+10x+2

subtract 2 from both sides

34-2 = 6x+10x+2-2

2-2 cancels out:

32 = 6x+10x
32=16x

divide both sides by 16

2=x
x=2

that's your solution