Ineed with equations with variables on both sides. the question is 5x-7=4x-1

You can subtract  4x  from each side of the equation. 
Then you'll have the variable only on one side.

Before:                5x - 7 = 4x - 1

After:                     x - 7 =      - 1

Now it's a lot easier to solve. 



I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:

Original equation:                  5x - 7 = 4x - 1

Subtract  4x  from each side:   x - 7 =      - 1

Add  7  to each side:                x      =        6

(Once you subtracted  4x  from each side,
there really wasn't much more left to do.)

Hold on lemme do the work