Question

My daughter needs help with step by step doing this equation

Answer 1

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