Answer
q=23
Work Step by Step
$\frac{q+2}{5}=\frac{2q-11}{7}$ cross multiply
$5(2q-11)=7(q+2)$ distributive property
$10q-55=7q+14$ subtract 7q from both sides; add 55 to both sides
$10q-55-7q+55=7q+14-7q+55$ combine like terms
$3q=69$ divide both sides by 3
$3q\div3=69\div3$
$q=23$
