NEED HELP WITH GEOMARTY!!!! 40 POINTS

x= 4.
If C is the midpoint of AQ, then the distance from A to C and from C to Q must be the same, hence AC=CQ. Using this logic, and substituting with what the problem guves us, then:
[tex]9x-5=31.[/tex]
[tex]9x-5=31\\ \\9x-5+5=31+5\\ \\9x=36\\\\ \frac{9x}{9} =\frac{36}{9} \\ \\x=4[/tex]
x= 4.