3x over x + 2 = 5 over 9
\(\frac{3x}{x+2}=\frac{5}{9}\ \ \ \ | cross\ multiplication\\\\ 3x*9=5(x+2) \ \ \ | omit\ the\ bracket\\\\ 27x=5x+10\ \ \ | subtract\ 5x\\\\ 22x=10\ \ \ | divide\ by\ 22\\\\ x=\frac{10}{22}=\frac{5}{11}\)
3x/(x+2)=5/9multily to cancel fractions9(x+2)multiply both sides by 9(x+2)9 times 3x=5 times (x+2)27x=5x+10subtract 5x22x=10divide by 2210/22=aprox 0.454545454545...x=0.455