I am to calculate all $x$ if $f(x) = g(x)$ and if
$f(x)= |2x+2| + |3-2x|$ $g(x)= x + 14$
How do I mix regular numbers with absolute values in such a sense? I thought I could calculate it like this:
$|2x+2| + |3-2x| = 3x+2 + 3+2x = 3x+5$
But then I realised that the end value of either of the absolute values is determined by $x$. It feels like a catch 22: how do I calculate this equation without knowing the value of $x$ until I've calculated it?