Answer
q=23
Work Step by Step
Recall, cross multiplying refers to when we multiply the numerator of the first fraction by the denominator of the second fraction and set that equal to the numerator of the second fraction times the denominator of the first fraction. We first cross multiply to get that $7q+14=10q-55.$ We then subtract 7q on both sides to get that $14=3q-55.$ We now add 55 to both sides to get that $3q=69$. We finally divide by 3 on both sides to get that $q=23$.
