Answer :

luana
[tex]\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}[/tex]
3x/(x+2)=5/9
multily to cancel fractions
9(x+2)
multiply both sides by 9(x+2)
9 times 3x=5 times (x+2)
27x=5x+10
subtract 5x
22x=10
divide by 22
10/22=aprox 0.454545454545...
x=0.455