Step 1. Multiply both sides by [tex]x+2[/tex]
[tex]3x= \frac{5}{9} (x+2)[/tex]
Step 2. Simplify [tex] \frac{5}{9} (x+2[/tex]) to [tex] \frac{5(x+2)}{9}[/tex]
[tex]3x= \frac{5(x+2)}{9}[/tex]
Step 3. Multiply both sides by 9
[tex]27x=5(x+2)[/tex]
Step 4. Expand
[tex]27x=5x+10[/tex]
Step 5. Subtract [tex]5x[/tex] from both sides
[tex]27x-5x=10[/tex]
Step 6. Simplify [tex]27x-5x[/tex] to [tex]22x[/tex]
[tex]22x=10[/tex]
Step 7. Divide both sides by 22
[tex]x= \frac{10}{22}[/tex]
Step 8. Simplify [tex] \frac{10}{22}[/tex] to [tex] \frac{5}{11}[/tex]
[tex]x= \frac{5}{11}[/tex]
Done! :)
Decimal form if needed: 0.454545
