Consider the following switch statement where $x$ is an int. If $x$ is currently equal to $5,$ what will the value of $x$ be after the switch statement executes?

switch $($x$)$

$\{$

case $3$:$x+=1$;

case $4$:$x+=2$

case $5$:$x+=3$

case $6$:$x++$

case $7$:$x+=2$;

case $8$:$x-7$

case $9$:$x^{++}$

$8$

$6$

$11$

$5$