PLEASE HELP WILL MARK BRAINLIEST THANK YOU

Answer:
[tex]You \: draw \: a \: picture \: which \\ represent \: your \: problem. \\Since \: R \: is \: on \: the \\ segment \: QS, \: the \: length \: of \\ QS \: is \: equal \: to \: length \\ of \: QR \: plus \: length \: of \: RS \\ QS=QR+RS \\ 2x+2=3x-5+5x-5 \\Solve \: for \: x \\ 2x+2=8x \\ 6x=2 \\x=2/6=1/3 \\ Now, \: use \: value \\ of \: x \: to \: calculate \: QR[/tex]