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