## Algebra 1

$\frac{q+2}{5}=\frac{2q-11}{7}$ 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 $3q\div3=69\div3$ $q=23$