Consider two intersecting lines, line $A$ and line $B$. At their intersection point, the angles formed between them are labeled as $a$, $b$, $c$, and $d$. It is given that angle $a$ measures $$3x + 5^{ ext{°}}$$ and angle $b$ measures $2x + 15^{ ext{°}}$. If angle $a$ and angle $b$ are adjacent angles on a straight line, what is the value of $x$?
Remember that adjacent angles on a straight line add up to $$180^{ ext{°}}$$.