Question 3Suppose $$ 2+\cfrac{1}{1+\cfrac{1}{2+\cfrac{2}{3+x}}}=\dfrac{144}{53}. $$ What is the value of $x?$$\dfrac{3}{4}$$\dfrac{7}{8}$$\dfrac{14}{15}$$\dfrac{37}{38}$$\dfrac{52}{53}$