-8<1-3(x-2)<13

-8<1-3(x-2)<13

let's just work on it as it sits

-8 < 1-3x+6 < 13
-8 < 7-3x < 13
subtract 7 , (does not affect inequality sign)
-15 < -3x < 6
divide by -3 , (switches the < to a > sign)

5 > x > -2

better form:
-2 < x < 5