Answer :

Edmonton
Oh! these are fun! ok so:

10x-3x=9-1 
First, put the variables on one side,and the normal numbers on the other.
Keep in mind that u have to change the sign (+ or -) when you switch sides.

7x=8
Then group the numbers (10x-3x=7x)

Lastly, isolate the x, to get the answer:
x=8/7

Hope this helps!
Silversoul
Well, first you'd have to get the x by it's self.
10x+1=3x+9
Subtract 3x from each side and you'll have the x on only one side rather than two.
7x+1=9
Now I'd get rid of the 1 on the x's side. So just subtract 1 from each side.
7x=8
Then you should make it so the seven isn't there with the x either. Just divide each side by 7.
Answer:  x=8/7
Each time you change something on one side, you must do the same to the other side. T find the value of a variable in an equation, simple seclude it so it's on it's own without number to make things confusing.
The answer was x=8/7 btw.