Answer
$(-7/5, 11/10)$
Work Step by Step
We simplify to find: $$|.6+4x| \lt 5$$ This implies: $$-5 \lt .6+4x \lt 5$$ Then, follow PEMDAS. In other words, first address parentheses, and then resolve exponents. Next, simplify division and multiplication, and lastly address subtraction and addition. We do this to obtain the solution set: $(-7/5, 11/10)$