Answer
$$ (13, \infty ) $$
Work Step by Step
We multiply by 6, the least common denominator, to find: $$(3x-12)-(2x-4) \gt 5$$ We simplify to find: $$ (3x-2x) +(-12+4) \gt 5$$ We add 8 to both sides to get: $$ x \gt 13$$ This can be written in set builder notation as: $$ (13, \infty ) $$