-3 ≤ 1-5x ≤ 7

We solve for x in the middle:

Add -1 to all three sides like this:
(Or you may say "Subtract 1 from them"):

-3 ≤ 1-5x ≤ 7
-1  -1     -1
-------------
-4 ≤  -5x ≤ 6 

Now that you have 

-4 ≤ -5x ≤ 6

Divide all three sides by -5.
However when we divide an inequality by
any negative number we always must reverse
the direction of the inequalities, so we get



or



Sometimes people prefer to leave answers with 
instead of , because they like to think left
to right on the number line,  So we might better write 
that as:



[Just remember that

LARGE > MEDIUM > SMALL
 
is equivalent to

SMALL < MEDIUM < LARGE

Edwin